12336
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 31992
- Proper Divisor Sum (Aliquot Sum)
- 19656
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4096
- Möbius Function
- 0
- Radical
- 1542
- Omega Function (Ω)
- 6
- 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
- 37
- 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
- Expansion of 1/((1-x^2)*(1-x^4)^2*(1-x^6)*(1-x^8)*(1-x^10)) (even powers only).at n=43A001994
- Spontaneous magnetization coefficients for square lattice spin 2 Ising model.at n=50A010103
- Base-9 Armstrong or narcissistic numbers, written in base 9.at n=16A010352
- a(n) = Sum_{k=0..n} ceiling(k^3/n).at n=35A014813
- Number of quaternary cubefree words of length n.at n=7A051043
- Binomial transform of A029767.at n=5A053482
- Numbers k such that sigma(phi(k)) is a prime.at n=30A062514
- Solutions to phi(gpf(x)) - gpf(phi(x)) = 254 = c are special multiples of 257, x = 257k, where largest prime factors of factor k were observed from {2, 3, 5, 17}. See solutions to other even cases of c (=A070813): A007283 for 0, A070004 for 2, A070814 for 14, A070816 for 65534.at n=18A070815
- Numbers k such that phi(k) is a perfect sixth power.at n=19A078166
- Structured octagonal anti-prism numbers.at n=15A100184
- Triangle read by rows: T(n,k) is the number of compositions of n into k parts when parts equal to q are of q^2 kinds.at n=39A105495
- Numbers k such that 13*k = A048720(29,k), where A048720 is carryless base-2 multiplication.at n=39A115805
- Integers i such that 10*i XOR 11*i = 21*i.at n=43A115829
- a(n) = 3*n^3 + 3*n.at n=16A119536
- Triangle T, read by rows, where column k equals column k of T^(2^k) shift down 1 row, with T(n,n)=T(n+1,n)=1 for n>=0.at n=40A121395
- Terms of A068563 that are not terms of A124240.at n=48A124241
- Numbers n which are concatenations n=x//y such that x^2+y^3 is a multiple of n.at n=30A162464
- n-th single or isolated number*n-th non-single or nonisolated number.at n=38A167885
- Array described in comments to A053482, here read by increasing antidiagonals. See comments below.at n=39A181783
- T(n,k) = number of ways to arrange k points on an n X n X n triangular grid so that it balances at its center.at n=84A194016