10568
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 19830
- Proper Divisor Sum (Aliquot Sum)
- 9262
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5280
- Möbius Function
- 0
- Radical
- 2642
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 104
- 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
- No-3-in-line problem on n X n grid: total number of ways of placing 2n points on n X n grid so no 3 are in a line. No symmetries are taken into account.at n=13A000755
- a(n) = a(n-1) + a(n-2) + 1 for n>1, a(0)=0, a(1)=5.at n=17A022310
- 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 51.at n=31A031549
- a(n) = floor(surface area of a sphere with radius n).at n=28A066644
- Numbers which retain their position in A073666 (position not disturbed by the rearrangement).at n=41A073667
- Main diagonal of table A083047.at n=12A083048
- Triangle read by rows in which each row is the inverse binomial transform of a diagonal of A089246.at n=37A089302
- Numbers k such that k * (10^k - 1) + 1 is prime.at n=8A109137
- Numbers that are the least element of a k-cycle (k > 1) of permutation A113821.at n=17A115641
- 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, 0), (-1, 0, 1), (-1, 1, -1), (1, 0, 0)}.at n=10A148507
- Number of ways to place 3 nonattacking nightriders on an n X n board.at n=6A173429
- Numbers that have 9 terms in their Zeckendorf representation.at n=27A179249
- Replace the word A214317(n) with its position in A007931.at n=12A214318
- Numbers whose arithmetic derivatives are a permutation of their digits.at n=18A225902
- Integers k such that (k^2 + (k+1)^2) has no square proper substring.at n=57A238903
- Expansion of e.g.f. log(1 - log(1 - x*exp(x))).at n=7A307125
- Nearest integer to 4*Pi*n^2.at n=29A322615
- G.f.: Sum_{k>=0} x^(8*k^2) / Product_{j=1..8*k-1} (1 - x^j).at n=52A377075