16659
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 24720
- Proper Divisor Sum (Aliquot Sum)
- 8061
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11088
- Möbius Function
- 0
- Radical
- 1851
- Omega Function (Ω)
- 4
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 190
- 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
- Number of "cubic partitions" of n: expansion of Product_{k>0} 1/((1-x^(2k))^2*(1-x^(2k-1))) in powers of x.at n=26A002513
- Graham-Sloane-type lower bound on the size of a ternary (n,3,4) constant-weight code.at n=35A030504
- Numbers whose base-7 representation contains exactly four 6's.at n=15A043420
- Number of rooted identity trees with n nodes and 4 leaves.at n=12A055329
- Triangle T(n,k) (n>=1, rows have irregular lengths) giving number of arrangements of k nonattacking princes on an n X n staggered hexagonal torus board.at n=25A067015
- Number of permutations of length n which avoid the patterns 1243, 2341, 4321.at n=14A116825
- Number of compositions of n with the smallest part in the first position.at n=15A171682
- Numbers n such that n+/-2 and n^2+/-2 are all primes.at n=16A189051
- Number of partitions n such that the multiplicity of the number of odd parts is a part.at n=44A240541
- Number of 3 X n 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4.at n=10A241358
- Triangle read by rows: coefficients of rook polynomials.at n=49A259985
- Numbers n such that n*prime(n) is a pandigital number containing digits 0-9 exactly once.at n=4A272552
- Array read by antidiagonals: T(m,n) = number of irredundant sets in the m X n king graph.at n=47A286870
- Array read by antidiagonals: T(m,n) = number of irredundant sets in the m X n king graph.at n=52A286870
- Number of 4Xn 0..1 arrays with every element equal to 0, 1 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero.at n=11A301966
- Number of non-isomorphic graphs on 4n vertices whose edges are the union of two n-edge matchings.at n=13A305168
- a(n) is the least number k for which A330437(k) = n.at n=21A330704
- Numbers that are the sum of five fourth powers in three or more ways.at n=15A344243
- Numbers that are the sum of five fourth powers in exactly three ways.at n=15A344244
- For n >= 2, a(n) = a(n-1) + a(n-2) + A051697(n), a(0)=0, a(1)=1.at n=18A363707