13179
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 18432
- Proper Divisor Sum (Aliquot Sum)
- 5253
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8360
- Möbius Function
- -1
- Radical
- 13179
- 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
- 125
- 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
- no
- Odd
- yes
Appears in sequences
- Expansion of (1+x)^(1/3)/(1+x-9*x^4)^(1/3).at n=18A098535
- Lucky numbers for which both the sum of the digits and the product of the digits is also a lucky number.at n=25A118559
- a(n) = 25*n^2 - 2*n.at n=22A154376
- G.f.: A(x) = exp( Sum_{n>=1} 3*A038500(n) * x^n/n ), where A038500 is the highest power of 3 dividing n.at n=31A161809
- Number of strings of numbers x(i=1..n) in 0..4 with sum i^2*x(i) equal to n^2*4.at n=10A183948
- Least number having n orderless representations as p^2 + q^2 + r^2, where p, q, and r are primes.at n=12A214512
- Number of ordered triples (i,j,k) with |i|,|j|,|k|,|i*j*k| <= n and gcd(i,j,k) <= 1.at n=37A226357
- Indices i where a run of zeros starts in A305671.at n=23A305673
- Indices i such that A305671(i) != A305671(i-1).at n=46A305674
- Number of ternary strings of length n that contain at least two 0's and at most one 1.at n=11A338230
- Antidiagonal sums of A383414.at n=5A383415