12152
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 27360
- Proper Divisor Sum (Aliquot Sum)
- 15208
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5040
- Möbius Function
- 0
- Radical
- 434
- 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
- 156
- 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) = 6*n^2 + 2 for n > 0, a(0)=1.at n=45A005897
- Base 6 digits are, in order, the first n terms of the periodic sequence with initial period 1,3,2.at n=5A037613
- Gaps of 7 in sequence A038593 (lower terms).at n=30A038653
- Numbers ending with '2' that are the difference of two positive cubes.at n=30A038857
- Numbers k such that sigma(prime(k) - 1) == 0 (mod k).at n=30A067758
- Triangle T(n,k), 0<=k<=n, defined by T(n,k) = 0 if k<0 or k>n, T(0,0) = 1, T(n,k) = T(n,k-1)+T(n-1,k-1)+T(n-1,k)+T(n-1,k+1).at n=24A122479
- First terms "a" of quadruples a>b>c>d>0 with six square pairwise sums.at n=37A175534
- a(1) = 2, a(n) = (n-th-even n^3) - (sum of previous terms).at n=23A181509
- Number of lower triangles of a 3 X 3 0..n array with each element differing from all of its diagonal, vertical, antidiagonal and horizontal neighbors by two or less.at n=12A195249
- G.f.: 1/(1-7*x+35*x^3-35*x^4+7*x^6-x^7).at n=5A200783
- T(n,k) is the number of arrays of n+2 elements from {0,1,...,k} with no two consecutive ascents.at n=30A200785
- Number of 0..n arrays x(0..4) of 5 elements without any two consecutive increases.at n=5A200787
- Number of length 5 nonnegative integer arrays starting and ending with 0 with adjacent elements unequal but differing by no more than n.at n=20A205342
- Number of 2 X 2 matrices having all terms in {-n,...,0,...,n} and determinant n+1.at n=23A211142
- a(n) = n^3 - a(n-2) for n >= 2 and a(0)=0, a(1)=1.at n=28A215097
- Number of (n+1)X(2+1) 0..6 arrays with every 2X2 subblock having the sum of the squares of all six edge and diagonal differences equal to 35.at n=2A233898
- Number of (n+1)X(3+1) 0..6 arrays with every 2X2 subblock having the sum of the squares of all six edge and diagonal differences equal to 35.at n=1A233899
- T(n,k)=Number of (n+1)X(k+1) 0..6 arrays with every 2X2 subblock having the sum of the squares of all six edge and diagonal differences equal to 35 (35 maximizes T(1,1)).at n=7A233903
- T(n,k)=Number of (n+1)X(k+1) 0..6 arrays with every 2X2 subblock having the sum of the squares of all six edge and diagonal differences equal to 35 (35 maximizes T(1,1)).at n=8A233903
- Number of (n+1) X (1+1) 0..4 arrays with every 2 X 2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 10.at n=3A234076