6656
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 14322
- Proper Divisor Sum (Aliquot Sum)
- 7666
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3072
- Möbius Function
- 0
- Radical
- 26
- Omega Function (Ω)
- 10
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 18
- 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
- Number of 4-line partitions of n decreasing across rows.at n=21A003292
- a(n) = 13*2^n.at n=9A005029
- Expansion of Product_{m>=1} (1+x^m)^8.at n=7A022573
- Convolution of natural numbers with Beatty sequence for tau^2 A001950.at n=23A023542
- Expansion of tanh(sin(x)^2)/2.at n=4A024262
- a(n) = A027144(2n, n-1).at n=5A027146
- Expansion of (theta_3(z)*theta_3(19z) + theta_2(z)*theta_2(19z))^4.at n=21A028644
- Expansion of (theta_3(z)*theta_3(2z)*theta_3(4z)+theta_2(z)*theta_2(2z)*theta_2(4z))^3.at n=45A028700
- 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 39.at n=32A031537
- Let r and s be consecutive Fibonacci numbers. Sequence is r^4, r^3 s, r^2 s^2, and r s^3.at n=17A031923
- Decimal part of a(n)^(1/3) starts with reversal of its integer part: first term of runs.at n=16A034309
- Multiplicity of highest weight (or singular) vectors associated with character chi_67 of Monster module.at n=35A034455
- Number of possible queen moves on an n X n chessboard.at n=12A035005
- Positive numbers having the same set of digits in base 8 and base 9.at n=25A037441
- Numbers having three 0's in base 8.at n=32A043423
- Numbers having three 1's in base 9.at n=38A043459
- Numbers having three 6's in base 10.at n=17A043515
- Numbers whose base-4 representation contains exactly four 0's and two 2's.at n=19A045059
- Numbers that are divisible by at least 10 primes (counted with multiplicity).at n=18A046313
- Numbers that are divisible by exactly 10 primes with multiplicity.at n=12A046314