12330
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
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 32292
- Proper Divisor Sum (Aliquot Sum)
- 19962
- 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
- 4110
- Omega Function (Ω)
- 5
- 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
- yes
- Harshad Number
- yes
- 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
- a(n) = n*(19*n + 1)/2.at n=36A022277
- Positive numbers k such that k and 2*k are anagrams in base 4 (written in base 4).at n=24A023059
- Numbers k whose decimal representation, read as a base-12 value and divided by k, yields an integer.at n=15A032555
- Sum of consecutive nonsquares.at n=18A048395
- Numbers k such that 2^k + 7 is prime.at n=34A057195
- McKay-Thompson series of class 44c for Monster.at n=53A058683
- Numbers k such that the sum of the reverses of 1,2,...,k is a perfect square.at n=7A074238
- Number of perfect rulers with n segments (n>=0).at n=18A103301
- Number of different deltoids (including squares) whose vertices are on an n X n grid.at n=32A159944
- Riordan array (((1+x)/(1-x-x^2))^m, x*A000108(x)), m=3.at n=55A185678
- Q-residue of A075392, where Q=A075392. (See Comments.)at n=5A193665
- Row sums of the triangle in A199332.at n=35A199771
- Number of 0..n arrays x(0..2) of 3 elements with each no smaller than the sum of its previous elements modulo (n+1).at n=34A200252
- a(n) = n*(6*n+4).at n=45A202804
- Number of (w,x,y,z) with all terms in {1,...,n} and w + x = 2y + 2z.at n=37A212561
- Number of nX4 0..2 arrays with exactly floor(nX4/2) elements equal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..2 order.at n=2A223100
- T(n,k)=Number of nXk 0..2 arrays with exactly floor(nXk/2) elements equal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..2 order.at n=17A223104
- Number of 3Xn 0..2 arrays with exactly floor(3Xn/2) elements equal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..2 order.at n=3A223106
- Expansion of a(q)^2 * b(q) in powers of q where a(), b() are cubic AGM theta functions.at n=37A231948
- a(n) = 3*n*(n^2 + 3*n + 4).at n=15A280304