11232
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 35280
- Proper Divisor Sum (Aliquot Sum)
- 24048
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3456
- Möbius Function
- 0
- Radical
- 78
- Omega Function (Ω)
- 9
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 86
- 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
- Theta series of laminated lattice LAMBDA_9.at n=6A005933
- Number of 3-voter voting schemes with n linearly ranked choices.at n=22A007009
- Theta series of direct sum of 3 copies of hexagonal lattice.at n=20A008654
- Coordination sequence for Cr3Si, Si position.at n=27A009927
- Place n distinguishable balls in n boxes (in n^n ways); let f(n,k) = number of ways that max in any box is k, for 1 <= k <= n; sequence gives f(n,n-2)/n.at n=10A019579
- a(n) = n*(n - 1)^3/2.at n=13A019582
- Theta series of A*_8 lattice.at n=37A023920
- Expansion of (theta_3(z)*theta_3(15z) + theta_2(z)*theta_2(15z))^4.at n=21A028628
- Numbers k that divide the (right) concatenation of all numbers <= k written in base 13 (most significant digit on left).at n=36A029458
- Numbers whose set of base-14 digits is {1,4}.at n=25A032826
- Composite numbers k such that digits in k and in juxtaposition of prime factors of k are the same (apart from multiplicity).at n=21A035141
- Number of partitions of n into parts not of forms 4*k+2, 20*k, 10*k+5.at n=52A036026
- Numbers divisible by the sum and product of their digits.at n=48A038186
- Positive numbers n such that n is a multiple of (product of digits of n) * (sum of digits of n).at n=11A049102
- Sum of digits of zero-absent composite a(n) equals number of prime factors.at n=3A050690
- Number of nonsingular n X n matrices over GF(3).at n=3A053290
- Maximum size of Aut(G) where G is a finite group of order n.at n=26A059773
- Maximal size of Aut(G) where G is a finite Abelian group of order n.at n=53A061350
- Maximal size of Aut(G) where G is a finite Abelian group of order n.at n=26A061350
- Order of automorphism group of the group C_n X C_n X C_n (where C_n is the cyclic group of order n).at n=2A064767