16644
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
- 24
- Divisor Sum
- 41440
- Proper Divisor Sum (Aliquot Sum)
- 24796
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5184
- Möbius Function
- 0
- Radical
- 8322
- Omega Function (Ω)
- 5
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 66
- 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 that are the sum of 7 positive 7th powers.at n=38A003374
- a(n) = C(n+2, 2) + C(n+2, 3) + C(n+2, 4) + C(n+2, 5).at n=17A027660
- 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 86.at n=26A031584
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 86.at n=2A031764
- Base-4 digits are, in order, the first n terms of the periodic sequence with initial period 1,0,0.at n=7A033140
- Sums of 3 distinct powers of 4.at n=42A038471
- Base-8 palindromes that start with 4.at n=22A043024
- Numbers k such that k | sigma_6(k).at n=43A055710
- Numbers n such that n | sigma_12(n).at n=23A055716
- Ooguri-Vafa invariants of disk domain wall degeneracies for brane I in the O(K) -> P^1 X P^1 geometry.at n=4A061613
- Consider the geometric progression 1,1/2,1/4,1/8,1/16,1/32,1/64,... Group the terms such that the n-th group contains n terms like this (1/1),(1/2,1/4),(1/8,1/16,1,32),(1/64,1/128,1/256,1/512),... a(n) = floor(1/s(n)) where s(n) is the sum of the members of the n-th group.at n=5A081972
- A081254-A072762.at n=21A101333
- Let r be the matrix {{1,1},{0,1}} and b={{1,0},{1,0}}. Let A be the semigroup generated by r and b. a(n) is the number of words of length n in A.at n=39A121946
- Triangular array read by rows: for n, k >= 1, a(n+1, 1) = 2*a(n, n); a(n+1, k+1) = a(n, k)+a(n+1, k).at n=29A129340
- Array read by rows: T(n,k) is the number of directed multigraphs with loops with n arcs, k vertices, and no vertex of degree 0.at n=46A136564
- Records in A139251.at n=44A152768
- Second edge diagonal of table A176577. (The first edge diagonal is A099627).at n=34A176575
- a(n+1) = a(n) + floor(a(n)/6) with a(0) = 6.at n=54A182307
- Base-2 digits are, in order, the first n terms of the periodic sequence with initial period 1,0,0,0,0,0.at n=14A195904
- Number of arrays of 6 nondecreasing integers in -n..n with sum zero and equal numbers greater than zero and less than zero.at n=14A203293