16780
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 35280
- Proper Divisor Sum (Aliquot Sum)
- 18500
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6704
- Möbius Function
- 0
- Radical
- 8390
- Omega Function (Ω)
- 4
- 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
- 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
- 4-dimensional analog of centered polygonal numbers.at n=14A006323
- Numbers k such that k^2+k+2 is a palindrome.at n=21A027712
- "EGJ" (unordered, element, labeled) transform of 1,2,3,4,...at n=8A032315
- Multiplicity of highest weight (or singular) vectors associated with character chi_52 of Monster module.at n=37A034440
- Poincaré series [or Poincare series] P(C_{6,2}(0); t).at n=15A124639
- Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+839)^2 = y^2.at n=6A130647
- Divisors of 453060.at n=35A134950
- a(n) = 839*n.at n=20A135639
- E.g.f. exp(sum_{d|M} (exp(d*x)-1)/d), M=12.at n=4A141008
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 1), (-1, 1, -1), (-1, 1, 0), (1, 0, 0)}.at n=10A148529
- a(n) = 6*a(n-1) - 8*a(n-2) + 4 for n > 1; a(0) = 1, a(1) = 9.at n=6A171480
- The number of disconnected k-regular simple graphs on 2k+4 vertices.at n=52A184324
- Monotonic ordering of nonnegative differences 7^i-3^j, for 40>= i>=0, j>=0.at n=26A192154
- Number of n X 2 binary arrays indicating whether each 2 X 2 subblock of a larger binary array has lexicographically increasing rows and columns, for some larger (n+1) X 3 binary array with rows and columns of the latter in lexicographically nondecreasing order.at n=16A227085
- Numbers n such that Bernoulli number B_{n} has denominator 330.at n=44A272183
- Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 462", based on the 5-celled von Neumann neighborhood.at n=36A288437