5600
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 15624
- Proper Divisor Sum (Aliquot Sum)
- 10024
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1920
- Möbius Function
- 0
- Radical
- 70
- Omega Function (Ω)
- 8
- Little Omega Function (ω)
- 3
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
- 85
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Number of self-complementary graphs with n nodes.at n=12A000171
- a(n) = max_{k=0..n} 2^k*A048993(n,k).at n=7A002871
- Values of phi(k) when phi(k) = phi(k+1).at n=18A003275
- Coordination sequence T2 for Cordierite.at n=45A008252
- Expansion of e.g.f. cosh(log(1+x)*exp(x)).at n=8A009135
- Expansion of e.g.f.: cosh(sin(x))/exp(x).at n=10A009145
- Expansion of e.g.f.: cosh(x)/exp(sin(x)).at n=10A009184
- Weight distribution of [100,22,32] code associated with Hoffman-Singleton and Higman-Sims graphs.at n=17A015070
- Weight distribution of [100,22,32] code associated with Hoffman-Singleton and Higman-Sims graphs.at n=33A015070
- Expansion of 1/(1-x^3-x^4-x^5-x^6-x^7-x^8-x^9-x^10-x^11-x^12-x^13).at n=27A017826
- Fibonacci sequence beginning 3, 13.at n=14A022124
- The sequence m(n) in A022905.at n=39A022907
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (Fibonacci numbers), t = (odd natural numbers).at n=20A024463
- Numbers k such that k divides the (left) concatenation of all numbers <= k written in base 11 (most significant digit on right and removing all least significant zeros before concatenation).at n=6A029528
- Theta series of 6-dimensional lattice of det 8.at n=29A029543
- Theta series of odd 8-dimensional 5-modular lattice O(5).at n=22A029719
- Floor( 7*n^2/2 ).at n=40A032525
- Numbers that, when expressed in base 5 and then interpreted in base 10, yield a multiple of the original number.at n=39A032543
- Maximal base 7 run length is 4.at n=20A037991
- Denominators of continued fraction convergents to sqrt(692).at n=10A042331