13629
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
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 23040
- Proper Divisor Sum (Aliquot Sum)
- 9411
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6960
- Möbius Function
- 1
- Radical
- 13629
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 63
- 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
- a(n) = n*(25*n + 1)/2.at n=33A022283
- Number of cubic residues mod 3^n.at n=10A046631
- Number of cubic residues mod 9^n.at n=5A046637
- Smallest m such that A065623(m) = n.at n=25A065624
- Odd terms of A059756.at n=11A111042
- Numbers k which divide the sum of the Fibonacci numbers F(1) through F(k) and such that k is not a multiple of 24.at n=15A124456
- Numbers k such that k and k+1 have 4 distinct prime factors.at n=9A140078
- Number of cubefree integers not exceeding 2^n.at n=14A160113
- G.f. satisfies: A(x) = B(x*A(x)), where B(x) is the g.f. of A184509.at n=7A184511
- Expansion of Product_{k>=1} (1 + x^(3*k)) / (1 - x^k).at n=30A266648
- Numbers k such that k and k+1 both have 16 divisors.at n=34A274359
- Numbers k such that k and k+1 are the product of exactly four distinct primes.at n=4A318896
- Numbers k such that k and k+1 each have at least 4 distinct prime factors.at n=9A321504
- Odd integers m that divide the sum of the first m nonzero Fibonacci numbers.at n=14A331976
- Numbers which are the product of two S-primes (A057948) in exactly three ways.at n=7A343828
- Number of n X 3 0..2 matrices with row sums 3 and column sums n up to permutations of rows.at n=41A377067