15338
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 23010
- Proper Divisor Sum (Aliquot Sum)
- 7672
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7668
- Möbius Function
- 1
- Radical
- 15338
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 58
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- "DIK" (bracelet, indistinct, unlabeled) transform of 3,3,3,3...at n=8A032284
- Numbers whose base-4 representation contains exactly four 2's and three 3's.at n=29A045156
- Number of connected unlabeled vertex-transitive graphs with n nodes such that complement is also connected.at n=23A054917
- Poincaré series [or Poincare series] (or Molien series) for a certain four-fold wreath product P_4.at n=48A091434
- Greatest number (in decimal representation) with n nonprime substrings in base-5 representation (substrings with leading zeros are considered to be nonprime).at n=10A217115
- a(n) = Sum_{i=0..n} digsum_3(i)^4, where digsum_3(i) = A053735(i).at n=52A231505
- Number of compositions of n such that the first part is 1 and the second differences of the parts are in {-4,...,4}.at n=17A239554
- 5-untouchable numbers.at n=37A284187
- Total number of nodes summed over all lattice paths from (0,0) to (n,n) that do not go below the x-axis or above the diagonal x=y and consist of steps U=(1,1), D=(1,-1) and S=(0,1).at n=6A286425
- Sum of all distinct multiplicities in the partitions of 2n into n parts.at n=21A373104
- a(0) = 1; thereafter a(n) = 2*(6*n^2 - 3*n + 1).at n=36A386477