8256
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 28
- Divisor Sum
- 22352
- Proper Divisor Sum (Aliquot Sum)
- 14096
- 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
- 2688
- Möbius Function
- 0
- Radical
- 258
- Omega Function (Ω)
- 8
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- yes
- 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
- 127
- 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
- a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3), n > 3, with a(0)=a(1)=a(2)=0, a(3)=1.at n=15A000749
- a(n) = (2^n + 2^[ n/2 ] )/2.at n=12A001445
- Numbers that are the sum of 3 nonzero 6th powers.at n=17A003359
- a(n) = 2^(n-1)*(2^n - (-1)^n).at n=7A003674
- Numbers that are the sum of at most 3 nonzero 6th powers.at n=32A004854
- Number of (n-1)-bead black-white reversible strings; also binary grids; also row sums of Losanitsch's triangle A034851; also number of caterpillar graphs on n+2 vertices.at n=14A005418
- a(n) = 2^(n-1)*(1+2^n).at n=7A007582
- Coordination sequence for D_4 lattice.at n=8A007900
- Theta series of direct sum of 4 copies of hexagonal lattice.at n=7A008655
- Expansion of tanh(x)*tan(tan(x))/2.at n=4A024266
- Theta series of 8-dimensional strongly 6-modular lattice O(6) with minimal norm 3.at n=28A029720
- 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 45.at n=22A031543
- a(n) = 2*n*(4*n + 1).at n=32A033585
- Sum of every 4th entry of row n in Pascal's triangle, starting at "n choose 0".at n=15A038503
- Number of elements of GF(2^n) with trace 0 and subtrace 0.at n=15A038518
- Number of elements of GF(2^n) with trace 1 and subtrace 1.at n=15A038521
- Base-7 palindromes that start with 3.at n=37A043017
- Numbers whose base-7 representation contains exactly four 3's.at n=6A043408
- Number of undirected walks of length n+1 on an oriented triangle, visiting n+2 vertices, with n "corners"; the symmetry group is C3. Walks are not self-avoiding.at n=13A051437
- Number of self-complementary directed 3-multigraphs with loops on 2n nodes.at n=1A052152