10565
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 12684
- Proper Divisor Sum (Aliquot Sum)
- 2119
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8448
- Möbius Function
- 1
- Radical
- 10565
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 104
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) is the number of partitions of 2n that can be obtained by adding together two (not necessarily distinct) partitions of n.at n=16A002219
- Divisors of 2^44 - 1.at n=26A003549
- For any circular arrangement of 0..n-1, let S = sum of squares of every sum of two contiguous numbers; then a(n) = # of distinct values of S.at n=39A007773
- Number of n-move queen paths on 8x8 board from given corner to any square.at n=3A025603
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 6.at n=35A031419
- Positions of the incrementally largest terms in the continued fraction expansion of zeta(3), offset 1 variant.at n=14A033167
- Multiplicity of highest weight (or singular) vectors associated with character chi_23 of Monster module.at n=37A034411
- First gap of n in sequence A038593 (upper terms).at n=41A038662
- Numbers ending with '5' that are the difference of two positive cubes.at n=30A038860
- a(n) = (n+5)^3 - n^3.at n=24A038867
- Number of rooted trees with n nodes with every leaf at height 9.at n=18A048814
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 21.at n=14A051986
- Expansion of 1/(1-x-2*x^2+2*x^3-2*x^4).at n=16A124281
- a(n) = a(n-2) + a(n-3) + a(n-4) - a(n-6), with a(0) = a(2) = a(3) = 1, a(1) = 0 and a(4) = a(5) = 2.at n=30A143438
- Total number of parts of multiplicity 6 in all partitions of n.at n=39A222706
- Number of partitions of n which can themselves be subdivided into two partitions whose sums differ by 1 at most.at n=34A276107
- Number of ordered pairs of integer partitions of n where no part of the first is greater than any part of the second.at n=21A322439
- a(n) = (4*n^3 + 12*n^2 - 4*n + 3)/3.at n=19A322594
- Number of ways to collapse an n-rowed triangular formation of dominoes.at n=6A333837
- Integers k such that 511*2^k - 1 is prime.at n=27A387925