5632
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 12276
- Proper Divisor Sum (Aliquot Sum)
- 6644
- 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
- 2560
- Möbius Function
- 0
- Radical
- 22
- Omega Function (Ω)
- 10
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 23
- 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
- Numbers of the form 2^i * 11^j.at n=31A003596
- Degrees of irreducible representations of alternating group A_12.at n=41A003867
- Degrees of irreducible representations of symmetric group S_12.at n=72A003876
- Degrees of irreducible representations of symmetric group S_12.at n=73A003876
- Sum of 11 positive 9th powers.at n=11A004800
- a(n) = 11*2^n.at n=9A005015
- McKay-Thompson series of class 8A for Monster.at n=7A007265
- Coordination sequence T2 for Zeolite Code DOH.at n=46A008079
- Expansion of cos(sin(x))/exp(x).at n=10A009045
- Expansion of cosh(x)*cos(sin(x)).at n=5A009175
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite RSN = RUB-17 K4Na12 [ Zn8Si28O72 ]. 18 H2O.at n=12A019222
- Max_{k=0..n} d(C(n,k)) - d(C(n,[ n/2 ])), where d() = number of divisors.at n=55A020740
- a(n) = T(n,0) + T(n,1) + ... + T(n,[ n/2 ]), T given by A027170.at n=10A027179
- [ exp(1/9)*n! ].at n=6A030957
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 37.at n=23A031535
- Numbers whose prime factors are 2 and 11.at n=15A033848
- Composite numbers k such that the digits of the prime factors of k are either 1 or 2.at n=36A036302
- Base-6 palindromes that start with 4.at n=26A043013
- Numbers having three 0's in base 8.at n=30A043423
- McKay-Thompson series of class 8A for Monster.at n=7A045490