15326
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 23520
- Proper Divisor Sum (Aliquot Sum)
- 8194
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7488
- Möbius Function
- -1
- Radical
- 15326
- 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
- 89
- 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
- Poincaré series [or Poincare series] of Lie algebra associated with a certain braid group.at n=14A007993
- Number of n X n binary arrays without the pattern 0 0 1 vertically or antidiagonally.at n=3A189189
- Number of nX4 binary arrays without the pattern 0 0 1 vertically or antidiagonally.at n=3A189191
- T(n,k)=Number of nXk binary arrays without the pattern 0 0 1 vertically or antidiagonally.at n=24A189196
- Number of 4 X n binary arrays without the pattern 0 0 1 vertically or antidiagonally.at n=3A189197
- Squarefree numbers that are k*A005117(k) for some k.at n=46A257832
- Sum over all Dyck paths of semilength n of products over all peaks p of C(x_p,y_p), where x_p and y_p are the coordinates of peak p.at n=5A258180
- Number of letters (0's and 1's) in the n-th iterate of the final-letter-removed mapping defined at A289035.at n=17A293077
- Expansion of 1/(1 - Sum_{k>=1} k^2*x^k/(1 - x^k)).at n=8A320649
- a(n)^2 is the start of the first occurrence of n consecutive perfect powers, all of which are squares with exponents equal to 2 (A111245).at n=37A340663
- Sphenic numbers k such that none of k-2, k-1, k+1 and k+2 is squarefree.at n=43A362561