13383
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 19344
- Proper Divisor Sum (Aliquot Sum)
- 5961
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8916
- Möbius Function
- 0
- Radical
- 4461
- Omega Function (Ω)
- 3
- 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
- 94
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers that are the sum of 8 nonzero 8th powers.at n=18A003386
- Base 9 digits are, in order, the first n terms of the periodic sequence with initial period 2,0,3.at n=4A037623
- A071156-codes for the fixed points of the permutation A125985/A125986.at n=3A126311
- Number of partitions of n where odd parts are distinct or repeated once.at n=41A131945
- Number of partitions into a triangular number of parts.at n=43A178927
- a(1) = a(2) = 2; a(n) = a(n-1) + gpf(a(n-2)), where gpf is greatest prime factor.at n=38A258125
- Expansion of phi(-x^4) / (chi(-x^12) * f(-x)^2) in powers of x where phi(), chi(), f() are Ramanujan theta functions.at n=20A279476
- Numbers k such that 4*10^k - 89 is prime.at n=16A290475
- Number of partitions p of n such that (1/5)*max(p) is a part of p.at n=46A363068
- Number of partitions of n whose least part is a multiple of 3.at n=55A363094
- Expansion of e.g.f. Product_{k>=1} (1 - x^k/k!)^3.at n=8A371552
- a(1) = 2; for n > 1, a(n) = a(n-1)*prime(n) if a(n-1)<=prime(n), otherwise a(n) = a(n-1)-prime(n).at n=37A382619