12580
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 28728
- Proper Divisor Sum (Aliquot Sum)
- 16148
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4608
- Möbius Function
- 0
- Radical
- 6290
- 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
- no
- 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
- 4-dimensional figurate numbers: a(n) = (5*n-1)*binomial(n+2,3)/4.at n=15A002418
- a(n) = a(n-1) + a(n-5); a(0) = ... = a(4) = 1.at n=36A003520
- Expansion of 1/(1 -x^5 -x^6 -x^7 - ...).at n=41A017899
- Number of 1's in n-th term of A022482.at n=33A022484
- dot_product(n,n-1,...2,1)*(7,8,...,n,1,2,3,4,5,6).at n=30A026066
- Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=1, r=5, I={0,2,3}.at n=38A079955
- A quadrisection of 1/(1-x-x^5).at n=9A099235
- Sum C(n-4k,k-1), k=0..floor(n/5).at n=40A099562
- G.f. A(x) satisfies: 4^n/2 = Sum_{k=0..n} [x^k]A(x)^n and also satisfies: ((4+z)^n + z^n)/2 = Sum_{k=0..n} [x^k](A(x)+z*x)^n for all z, where [x^k]A(x)^n denotes the coefficient of x^k in A(x)^n.at n=21A100240
- 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, -1), (-1, 0, 0), (0, -1, 0), (1, 1, 0), (1, 1, 1)}.at n=7A150922
- Numbers n such that sqrt(36*n+49) is prime.at n=40A168669
- Number of n-step one-sided prudent walks, avoiding exactly two consecutive west steps (can have three or more west steps).at n=11A190525
- Expansion of 1/(1 - x - 2*x^3 - x^5).at n=18A193147
- Number of 3 X n 0..1 arrays with antidiagonals unimodal and rows and diagonals nondecreasing.at n=39A224039
- a(n) = binomial(floor(n/2),4) + (ceiling(n/2)-3)*binomial(floor(n/2),3).at n=35A234277
- Consider any concatenation of the type n = concat(a,b). Sequence lists numbers that are the sum of the products of some of such couples a and b.at n=22A265737
- Nonsquares in A277699 listed in the order of their appearance.at n=47A277805
- Expansion of x*(1 + 3*x + x^2)/((1 - x)^5*(1 + x)^4).at n=29A287143
- Ulam numbers u such that 5*u is also an Ulam number.at n=24A287613
- Practical numbers z such that z^2 = x^2 + y^2 for some practical numbers x and y with gcd(x,y,z) = 4.at n=21A294112