12633
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 16848
- Proper Divisor Sum (Aliquot Sum)
- 4215
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8420
- Möbius Function
- 1
- Radical
- 12633
- 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
- 63
- 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
- no
- Odd
- yes
Appears in sequences
- Number of trivalent maps with n nodes.at n=7A005027
- Powers of cube root of 17 rounded to nearest integer.at n=10A018025
- Powers of cube root of 17 rounded up.at n=10A018026
- Numbers k such that the continued fraction for sqrt(k) has period 88.at n=34A020427
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 74.at n=37A031572
- Numbers whose base-7 representation contains exactly four 5's.at n=6A043416
- a(n) = Sum_{i=1..n} LookAndSay(i).at n=21A079664
- Sum of first n terms of A(x)^n is A087457(n) for n>=1.at n=9A088930
- Numbers k such that the first 9 decimal digits of the k-th Fibonacci number is 1-9 pandigital.at n=6A112516
- Numbers k such that k + prime(k) gives a triangular number.at n=42A115882
- Eigenvector of the triangle of distinct partitions (A008289), so that: a(n) = Sum_{k=1..tri(n)} A008289(n,k)*a(k) for n>=1 with a(1)=1, where tri(n) = floor((sqrt(8*n+1)-1)/2).at n=48A118399
- Number of 0..2 arrays of length n with each element differing from at least one neighbor by something other than 1.at n=10A221567
- Number of idempotent 3 X 3 0..n matrices of rank 1.at n=42A224525
- Numbers n such that 3*n and n^3 have the same digit sum.at n=29A260906
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 637", based on the 5-celled von Neumann neighborhood.at n=21A273306
- Numbers n such that there is precisely 1 group of order n, 2 of order n + 1 and 3 of order n + 2.at n=7A296024
- a(n) is the total area of all closed Deutsch paths of length n.at n=8A330169
- Triangle read by rows: T(n,k) is the number of balanced reduced multisystems of weight n with atoms colored using exactly k colors.at n=17A330776
- Number of divisors of n! with distinct prime multiplicities.at n=23A336414
- E.g.f.: Product_{k>=1} 1/(1 - (exp(x) - 1)^k)^(1/k).at n=6A345749