15036
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 40320
- Proper Divisor Sum (Aliquot Sum)
- 25284
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4272
- Möbius Function
- 0
- Radical
- 7518
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 89
- 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 graphs with n nodes and n-4 edges.at n=14A001432
- Number of n-dimensional partitions of 5.at n=20A008779
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite NAT = Natrolite Na16[Al16Si24O80].16H2O starting from a T1 atom.at n=13A019200
- Smallest multiple of prime(n) of the form r*prime(n-1) + s*prime(n-2). r and s are positive integers.at n=38A085950
- 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, -1), (1, 0, 1), (1, 1, 1)}.at n=7A150969
- a(n) gives the number of nonisomorphic connected compact Lie groups of dimension n which are simple products.at n=53A177821
- Maximally refined partitions into distinct parts (of any natural number) with largest part n.at n=25A179822
- Number of compositions of n that avoid the pattern 12-3.at n=16A188900
- Erroneous version of A188900.at n=16A189075
- Number of partitions p of n such that max(p) - min(p) = 10.at n=37A218573
- Partial sums of A073602.at n=40A259035
- Number of length-n 0..4 arrays with no adjacent pair x,x+1 repeated.at n=5A269652
- T(n,k) = number of length-n 0..k arrays with no adjacent pair x,x+1 repeated: infinite square array read by falling antidiagonals.at n=41A269656
- Number of length-6 0..n arrays with no adjacent pair x,x+1 repeated.at n=3A269659
- G.f. A(x) satisfies: [x^n] A(x) * (1+x)^(n*(n-1)/2) = [x^n] (1+x)^(n*(n+1)/2) for n >= 0.at n=6A304403