12252
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
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 28616
- Proper Divisor Sum (Aliquot Sum)
- 16364
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4080
- Möbius Function
- 0
- Radical
- 6126
- Omega Function (Ω)
- 4
- 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
- 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
- Number of points on surface of cuboctahedron (or icosahedron): a(0) = 1; for n > 0, a(n) = 10n^2 + 2. Also coordination sequence for f.c.c. or A_3 or D_3 lattice.at n=35A005901
- Base-7 Armstrong or narcissistic numbers, written in base 7.at n=15A010349
- Floor[X/Y] where X = concatenation of first n cubes in increasing order and Y = concatenation of first n squares.at n=6A067123
- Interprimes which are of the form s*prime, s=12.at n=31A075287
- Numbers k such that 7*10^k + 4*R_k - 3 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=12A103057
- Number of perfect rulers with length n.at n=60A103300
- Triangle of coefficients from a polynomial recursion with row sum near =2*5^n: p(x,n)=(x + 1)*(p(x, n - 1) + 2*5^(n - 2)*(x + 5*x^Floor[n/2] + x^(n - 2))).at n=30A153354
- Numbers k such that k-1, k+1, and k^2-k-1 are primes.at n=41A154666
- Numbers k such that k is the average of four consecutive primes k-11, k-1, k+1 and k+11.at n=17A259025
- Number of n X 3 binary arrays with some element plus some horizontally or antidiagonally adjacent neighbor totalling two exactly once.at n=5A268881
- T(n,k)=Number of nXk binary arrays with some element plus some horizontally or antidiagonally adjacent neighbor totalling two exactly once.at n=33A268886
- Number of 6Xn binary arrays with some element plus some horizontally or antidiagonally adjacent neighbor totalling two exactly once.at n=2A268891
- Number of ways to remove n oranges from an infinite stack of oranges whose m-th layer is an m X (m+3) rectangle.at n=11A274597
- Median of the primes p with 2^(n-1) < p < 2^n.at n=11A309359
- Inverse Möbius transform of A329642.at n=85A329645
- Number of permutations of {0, 1, ..., n} that start with 0 and have pairwise distinct differences between adjacent terms.at n=9A346658
- Sum of square end-to-end displacements over all n-step self-avoiding walks of A359709.at n=7A359073
- Least k such that prime(k) >= 2^n.at n=16A372684
- a(0) = 1; thereafter a(n) = 5*n^2 - 5*n + 2.at n=50A386485
- Expansion of 1 / ((1-x)^2 - x^6)^2.at n=17A392554