12360
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 37440
- Proper Divisor Sum (Aliquot Sum)
- 25080
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3264
- Möbius Function
- 0
- Radical
- 3090
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 4
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
- 63
- 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
- McKay-Thompson series of class 7A for Monster.at n=7A007264
- Powers of fifth root of 19 rounded to nearest integer.at n=16A018169
- Powers of fifth root of 19 rounded up.at n=16A018170
- Magic numbers: atoms with full shells containing any of these numbers of electrons are considered electronically stable.at n=39A018227
- a(n) = sum of squares of numbers in row n of array T given by A026747.at n=7A027229
- Theta series of 8-d 5-modular lattice Q_8(1) with det 625 and minimal norm 4.at n=10A028976
- McKay-Thompson series of class 7A for the Monster group with a(0) = 10.at n=7A030183
- Base-7 palindromes that start with 5.at n=23A043019
- McKay-Thompson series of class 7A for the Monster group with a(0) = 3.at n=7A045489
- Graham-Pollak sequence with initial term 8.at n=21A091523
- Number of digits in A110774(n).at n=13A110775
- Numbers n that raised to the powers from 1 to k (with k>=1) are multiple of the sum of their digits (n raised to k+1 must not be a multiple). Case k=13.at n=5A135198
- a(n) = least n-distinct-decimal-digit number such that the string formed by the last k digits is divisible by k for any 1<=k<=n.at n=4A147636
- Numbers n with property that n+41, n^2+41 and n^3+41 are all primes.at n=8A175260
- Smallest number k such that prime(n) divides the n-th divisor of k.at n=25A226101
- Number of (n+1) X (1+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).at n=5A234914
- Number of (n+1) X (6+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).at n=0A234919
- T(n,k) is the number of (n+1) X (k+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).at n=15A234921
- T(n,k) is the number of (n+1) X (k+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).at n=20A234921
- a(n) = Sum_{k=1, n} phi(k)*index(k, n), with phi(k) the Euler totient A000010(k) and index(k,n) the position of 1/k in the n-th row of the Farey sequence of order k, A049805(n,k).at n=42A244396