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Properties of Number
Click on number to see Concepts connected with it.
| 0 |
| Can be partitioned 1 way. |
| n/a |
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| 1 |
| Can be partitioned 1 way. |
| n/a |
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| 2 |
| Can be partitioned 2 ways. |
| Prime |
| The 3th Fibonacci Number. |
| The 1st Mersenne prime number. |
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| 3 |
| Can be partitioned 3 ways. |
| Prime |
| The 2nd mersenne number. |
| triangular number |
| The 4th Fibonacci Number. |
| The 1st Delannoy Number. |
| 5 |
| Can be partitioned 7 ways. |
| Prime |
| The 8th Fibonacci Number. |
| The 3rd catalan number. |
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| 6 |
| Can be partitioned 11 ways. |
| 2x3 |
| The 3rd triangular number. |
| The 2nd hexagonal number. |
| The 2nd Schröder number. |
| 7 |
| Can be partitioned 15 ways. |
| The 4th prime number. |
| The 3rd Mersenne prime number. |
| The 4th mersenne number. |
| The 4th odd number. |
| The 4th Lucas number. |
| The 3rd lucky number. |
| Sum of the first 4 Fibonacci numbers= 1 + 1 + 2 + 3 = 7 |
| Difference of the first two cube numbers = 23 - 13 = 8 - 1 = 7 |
| Sum of the 2nd odd & 2nd even numbers = 3 + 4 = 7 |
| Sum of the 1st & 3rd prime numbers= 2 + 5 = 7 |
| Sum of the 1st & 3rd factorials= 1 + 6 = 7 |
| Sum of the 1st & 3rd triangular numbers= 1 + 6 = 7 |
| 8 |
| Can be partitioned 22 ways. |
| 2x2x2 |
| The 5th Fibonacci Number. |
| 9 |
| Can be partitioned 30 ways. |
| 3x3 |
| The 5th odd number. |
| The 4th composite number. |
The 2nd octagonal pyramidal number.
(sum of 1st two octagonal #s = 1+ 8 = 9)
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| The 4th lucky number. |
| Sum of the first two cube numbers= 1 + 8 = 9 |
| Sum of the first three odd numbers. |
| Sum of the first three factorials= 1 + 2 + 6 = 9 |
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| 10 |
| Can be partitioned 42 ways. |
| 2x5 |
| The 5th even number. |
| The 5th composite number. |
The 4th triangular number.
(Sum of the 1st four numbers = 1 + 2 + 3 + 4 = 10) |
The 3rd tetrahedral number.
(Sum of the 1st three triangular numbers = 1 + 3 + 6 = 10) |
| Product of the 1st even & 3rd odd numbers = 2 x 5 = 10 |
| Product of the 1st & 3rd prime numbers= 2 x 5 = 10 |
| Product of the 3rd & 5th Fibonacci numbers= 2 x 5 = 10 |
| Sum of the 1st three prime numbers = 2 + 3 + 5 = 10 |
| Sum of the 3rd, 4th, 5th Fibonacci numbers= 2 + 3 + 5 = 10 |
| Sum of the 1st & 3rd Square Numbers= 12 + 32 = 1 + 9 = 10 |
| Sum of the 1st & 4th even numbers = 2 + 8 = 10 |
| Sum of the 2nd & 4th odd numbers = 3 + 7 = 10 |
| Sum of the 2nd & 3rd,(2n - 1): 3 + 7 = 10 |
| Sum of the 2nd & 3rd even numbers = 4 + 6 = 10 |
| 11 |
| Can be partitioned 56 ways. |
| Prime |
| The 4th super catalan number |
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| 12 |
| Can be partitioned 77 ways. |
| 2x2x3 |
| The 1st abundant number |
| 13 |
| Can be partitioned 101 ways. |
| The 6th prime number. |
| The 7th Fibonacci number. |
| The 7th odd number. |
| The 5th lucky number. |
| The 3rd centered Square Number. |
| The 2nd Delannoy Number. |
| Sum of the 2nd & 3rd Square Numbers= 4 + 9 = 13 |
| Sum of the 1st perfect number & 4th prime number= 6 + 7 = 13 |
| The hypotenuse of the Pythagorean 5-12-13 triangle= 13 |
| 14 |
| Can be partitioned 135 ways. |
| 2x7 |
| The 7th even number. |
| The 7th composite number. |
| The 4th catalan number. |
| The 3rd pyramidal number = 1, 5, 14 |
| Product of the 1st even & 4th odd numbers = 2 x 7 = 14 |
| Sum of the 1st, 2nd, & 4th triangular numbers= 1 + 3 + 10 = 14 |
| Sum of the 1st, 3rd, and 4th prime numbers= 2 + 5 + 7 = 14 |
| Sum of the 1st and 7th Fibonacci numbers= 1 + 13 = 14 |
| Sum of the 1st & 6th even numbers = 2 + 12 = 14 |
| Sum of the 2nd & 5th even numbers = 4 + 10 = 14 |
| Sum of the 3rd & 4th even numbers = 6 + 8 = 14 |
| Sum of the 2nd, 3rd, 4th, 5th numbers = 2 + 3 + 4 + 5 = 14 |
| 15 |
| Can be partitioned 176 ways. |
| 3x5 |
| The 5th triangular number. |
| The 3rd hexagonal number. |
| The 4th mersenne number. |
| 16 |
| Can be partitioned 231 ways. |
| 2x2x2x2 |
| Square Number |
| The 3rd centered pentagonal number. |
| The 2nd truncated tetrahedal number. |
| 17 |
| Can be partitioned 297 ways. |
| Prime |
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| 18 |
| Can be partitioned 385 ways. |
| 2x3x3 |
| Pentagonal Pyramidal Number |
| The 3rd heptagonal number. |
| The 2nd abundant number |
| 19 |
| Can be partitioned 490 ways. |
| Prime |
| The 4th centered triangular number. |
| The 3rd octahedral number. |
| 20 |
| Can be partitioned 627 ways. |
| 2x2x5 |
| The 1st abundant number. |
| 21 |
| Can be partitioned 792 ways. |
| 3x7 |
| triangular number |
| The 3rd octagonal number. |
| The 8th Fibonacci Number. |
| 22 |
| Can be partitioned 1002 ways. |
| 2x11 |
| Twenty-two is the number of writable regular polygons in an Euclidiean circle: 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360. These are twenty-two of the twenty-four dividers of 360, the two first, 1 and 2, not defining polygons. |
| The 3rd Schröder number. |
| 23 |
| Can be partitioned 1255 ways. |
| Prime |
| Every positive whole number can be written as the sum of eight cubes (including 0^3 when necessary) EXCEPT 23 and 239. Those two numbers require 9 cubes. |
| 24 |
| Can be partitioned 1575 ways. |
| 2x2x2x3 |
| The 3rd nonagonal number. |
| The 3rd abundant number. |
| Product of the 1st and 6th even numbers = 2 x 12 = 24The 12th even number = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24 |
| Product of the 1st and 6th even numbers = 2 x 12 = 24 |
| Product of the 2nd and 3rd even numbers = 4 x 6 = 24 |
| Product of the 1st composite & 1st perfect number 4 x 6 = 24 |
| Product of the 2nd triangular & 2nd cube numbers = 3 x 8 = 24 |
| Sum of the 5th and 6th prime numbers 11 + 13 = 24 |
| The 4th abundant number= 12, 18, 20, 24 |
| Factorial 4 = 4! = 4 x 3 x 2 x 1 = 24 |
| 25 |
| Can be partitioned 1958 ways. |
| 5x5 |
| The 13th odd number. |
| The 5th Square Number. |
| The 4th centered Square Number. |
| Sum of the first 5 odd numbers. |
Sum of the 3rd and 4th Square Numbers = 9+16=25
(Pythagorean 3-4-5 right triangle)
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| 26 |
| Can be partitioned 2436 ways. |
| 2x13 |
| The 13th even number. |
| The 3rd heptagonal pyramidal number. |
| Product of the 1st even and 7th odd numbers = 2 x 13 = 26 |
| Sum of the 1st & 5th Square Numbers = 12 + 52 = 1 + 25 = 26 |
| Sum of the 6th & 7th even numbers = 12 + 14 = 26 |
| Sum of the 5th, 6th, and 7th Fibonacci numbers = 5 + 8 + 13 = 26 |
| Sum of the 5th through 8th numbers: 5 + 6 + 7 + 8 = 26 |
| Sum of the 1st four Mersenne numbers. |
| Difference in the 2nd pair of amicable numbers = 1210 - 1184 = 26 |
| 27 |
| Can be partitioned 3010 ways. |
| 3x3x3 |
| The 3rd decagonal number. |
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| 28 |
| Can be partitioned 3718 ways. |
| 2x2x7 |
| The 4th hexagonal number. |
| The 4th perfect number. |
| 29 |
| Can be partitioned 4565 ways. |
| The 10th prime number. |
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| 30 |
| Can be partitioned 5604 ways. |
| 2x3x5 |
| The 5th abundant number |
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| 31 |
| Can be partitioned 6842 ways. |
| prime |
| The 5th mersenne number. |
| The 3rd Mersenne prime number. |
| The 5th centered triangular number. |
| The 4th centered pentagonal number. |
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| 32 |
| Can be partitioned 8349 ways. |
| 2x2x2x2x2 |
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| 33 |
| Can be partitioned 10143 ways. |
| 3x11 |
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| 34 |
| Can be partitioned 12310 ways. |
| 2x17 |
| The 9th Fibonacci Number |
| The 4th heptagonal number. |
| 35 |
| Can be partitioned 14883 ways. |
| 5x7 |
| The 3rd centered cube number. |
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| 36 |
| Can be partitioned 17977 ways. |
| 2x2x3x3 |
| The 8th triangular number. |
| The 6th Square Number. |
| The 6th abundant number. |
| 37 |
| Can be partitioned 21637ways. |
| prime |
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| 38 |
| Can be partitioned ways. |
| 2x19 |
| The 2nd truncated octahedral number. |
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| 39 |
| Can be partitioned 26015 ways. |
| 3x13 |
| Product of the 2nd & 6th prime numbers= 3 x 13 = 39 |
| Sum of the 1st & 12th prime numbers = 2 + 37 = 39 |
| Sum of 10th odd & 10th even numbers = 19 + 20 = 39 |
| Sum of numbers 4 through 9 = 4 + 5 + 6 + 7 + 8 + 9 = 39 |
| Sum of the 6th, 7th, & 8th odd numbers = 11 + 13 + 15 = 39 |
| 40 |
| Can be partitioned 31185 ways. |
| 2x2x2x5 |
| The 4th octagonal number. |
| Pentagonal Pyramidal Number |
| The 7th abundant number |
| 42 |
| Can be partitioned 44583 ways. |
| 2x3x7 |
| The 4th catalan number. |
| The 8th abundant number. |
| 43 |
| Can be partitioned 53174 ways. |
| prime |
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| 44 |
| Can be partitioned 63261 ways. |
| 2x2x11 |
| The 4th octahedral number. |
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| 45 |
| Can be partitioned 75175 ways. |
| Prime Divisors: 3x3x5 |
| The 5th hexagonal number. |
| The 5th super catalan number |
| 46 |
| Can be partitioned 89134 ways. |
| Prime Divisors: 2x23 |
| The 4th nonagonal number. |
| The 6th centered triangular number. |
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| 47 |
| Can be partitioned ways. |
| Prime |
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| 48 |
| Can be partitioned ways. |
| Prime Divisors: 2x2x2x2x3 |
| The 9th abundant number. |
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| 49 |
| Can be partitioned ways. |
| Prime Divisors: 7x7 |
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| 50 |
| Can be partitioned ways. |
| 2x5x5 |
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| The 25th even number = 50 |
| Product of the 1st even & 13th odd numbers = 2 x 25 = 50 |
| Product of the 3rd odd & 5th even numbers = 5 x 10 = 50 |
| Sum of the 3rd cube and 9th prime numbers 27 + 23 = 50 |
| Sum of the 6th and 12th prime numbers 13 + 37 = 50 |
| Sum of the 8th and 11th prime numbers 19 + 31 = 50 |
| Sum of the 4th and 14th prime numbers 7 + 43 = 50 |
| Sum of the 1st three abundant numbers 12 + 18 + 20 = 50
| | sum of the squares of the Pythagorean 3-4-5 triangle= 9 + 16 + 25 = 50 |
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