15740
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
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 33096
- Proper Divisor Sum (Aliquot Sum)
- 17356
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6288
- Möbius Function
- 0
- Radical
- 7870
- Omega Function (Ω)
- 4
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 102
- 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
- Numbers n such that n through n+5 have the same number of distinct prime factors.at n=15A045934
- Number of Dyck paths of semilength n with no peak at height 3.at n=11A059019
- Numbers k such that k-1, k-3, k-7 and k-9 are all prime.at n=14A064974
- Sum_{k<=n} (sigma(k)^2), where sigma(k) denotes the sum of the divisors of k A000203.at n=24A072379
- Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n that have k valleys at level 1.at n=47A114489
- Numbers such that the sum of the factorials of the digits of the fourth power is a square.at n=26A126077
- Number of 4-step S, E, and NW-moving king's tours on an n X n board summed over all starting positions.at n=28A187509
- Sum of rows of the triangle in A080381.at n=15A202148
- Number of 0..3 arrays of length n with each element differing from at least one neighbor by something other than 1, starting with 0.at n=8A221537
- T(n,k) = Number of 0..k arrays of length n with each element differing from at least one neighbor by something other than 1, starting with 0.at n=63A221542
- Number of partitions of n such that (number parts having multiplicity 1) is a part and (number of parts > 1) is a part.at n=46A241511
- Partial sums of A252750: a(0) = 0; for >= 1: a(n) = A252750(n) + a(n-1).at n=64A252751
- Numbers n such that Bernoulli number B_{n} has denominator 330.at n=41A272183
- Number of subsets of {1..n} containing n and some element equal to the sum of two or more distinct other elements. A variation of non-binary sum-full subsets without re-usable elements.at n=15A365069
- Triangle read by rows: T(n, k) is the number of invertible n X n matrices over GF(2) that can be optimally row-reduced in k steps, n >= 0, k >= 0.at n=34A381854