15502
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 24336
- Proper Divisor Sum (Aliquot Sum)
- 8834
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7392
- Möbius Function
- -1
- Radical
- 15502
- Omega Function (Ω)
- 3
- 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
- 177
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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) = Sum_{k=1..n} d(k)*prime(k), where d(k) = A001223.at n=39A064009
- a(n+1) = 2*a(n-2) + a(n-1), with a(0) = 3, a(1) = 0, and a(2) = 2.at n=23A072328
- a(n) = ceiling(a(n-1)*4/3), with a(1) = 1.at n=31A087192
- a(n+3) = 6a(n+2) - 10a(n+1) + 3a(n); a(0) = 1, a(1) = 4, a(2) = 14.at n=8A104487
- a(n) = (1/3)*n^3 - n^2 - (1/3)*n - 1.at n=37A109620
- Number of n X 5 1..2 arrays containing at least one of each value, all equal values connected, rows considered as a single number in nondecreasing order, and columns considered as a single number in nondecreasing order.at n=14A166808
- Diagonal sums of the Riordan matrix (1/(1-3*x^2),x/(1-x)) (A191582).at n=16A191584
- Number of (w,x,y,z) with all terms in {0,...,n} and |w-x|+|x-y+|y-z|=n.at n=25A212904
- Numbers k that divide the sum of the first k numbers from Flavius Josephus's sieve (A099074).at n=19A218665
- Number of (n+2)X(4+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00010101.at n=4A260471
- Number of (n+2)X(5+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00010101.at n=3A260472
- T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00010101.at n=31A260475
- T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00010101.at n=32A260475
- Number of pairs (p,q) of partitions of n into distinct parts such that p majorizes q in the dominance order.at n=27A265506
- Number of connected arrangements of n circles in the affine plane, in the sense that the union of the boundaries of the circles is a connected set.at n=5A275924
- Index of first occurrence of n appearing twice in succession in van Eck's sequence (A181391), or 0 if it never occurs.at n=41A308782
- Expansion of e.g.f. 1/(1 - (sinh(x) + x*cosh(x))/2 ).at n=7A349105