12512
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
- 27216
- Proper Divisor Sum (Aliquot Sum)
- 14704
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5632
- Möbius Function
- 0
- Radical
- 782
- Omega Function (Ω)
- 7
- 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
- 125
- 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
- Coordination sequence for MgCu2, Cu position.at n=28A009930
- Number of down/up (initially descending) compositions of n.at n=23A025049
- Expansion of (theta_3(z)*theta_3(19z) + theta_2(z)*theta_2(19z))^4.at n=27A028644
- Multiplicity of highest weight (or singular) vectors associated with character chi_46 of Monster module.at n=37A034434
- Smallest composite that when added to sum of prime factors reaches a prime after n iterations.at n=40A050710
- Number of walks of length n between two nodes at distance 4 in the cycle graph C_9.at n=13A095369
- Decimal Goedelization of antitheorems from propositional calculus, in Richard C. Schroeppel's metatheory of A101273.at n=11A100200
- n*(n-1)*(n^2-n+4)/6.at n=17A103290
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 1), (1, -1, -1), (1, 1, -1), (1, 1, 0)}.at n=9A148718
- a(n) = 49*n^2 - 2*n.at n=15A157362
- Number of (n+1)X(1+1) 0..1 arrays with every element equal to some horizontal, vertical, diagonal or antidiagonal neighbor, with top left element zero.at n=6A231950
- Number of (n+1)X(7+1) 0..1 arrays with every element equal to some horizontal, vertical, diagonal or antidiagonal neighbor, with top left element zero.at n=0A231956
- T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every element equal to some horizontal, vertical, diagonal or antidiagonal neighbor, with top left element zero.at n=21A231957
- T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every element equal to some horizontal, vertical, diagonal or antidiagonal neighbor, with top left element zero.at n=27A231957
- Number of (n+2)X(6+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the diagonal and antidiagonal minus the two minimums of the central column and central row nondecreasing horizontally, vertically and ne-to-sw antidiagonally.at n=21A254905
- Numbers which are representable as a sum of seventeen but no fewer consecutive nonnegative integers.at n=16A270302
- T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 3, 4 or 5 king-move adjacent elements, with upper left element zero.at n=37A298280
- T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 3, 4 or 5 king-move adjacent elements, with upper left element zero.at n=43A298280
- T(n,k) = Number of n X k 0..1 arrays with every element equal to 1, 2, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero.at n=37A299067
- T(n,k) = Number of n X k 0..1 arrays with every element equal to 1, 2, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero.at n=43A299067