10844
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 18984
- Proper Divisor Sum (Aliquot Sum)
- 8140
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5420
- Möbius Function
- 0
- Radical
- 5422
- Omega Function (Ω)
- 3
- 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
- 117
- 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
- Terminating decimals of length n of form p/5^q using at most one of each nonzero digit.at n=23A027905
- Number of partitions of n with equal number of parts congruent to each of 0 and 1 (mod 3).at n=48A035534
- Number of partitions of n with equal nonzero number of parts congruent to each of 0, 2 and 3 (mod 4).at n=56A046780
- Number of 7/3+-power-free words over the alphabet {0,1}.at n=34A082380
- Trajectory of 1001 under "3x+1" map.at n=25A100709
- Numbers k such that k and k^2 together contain all ten digits.at n=36A122477
- Catalan transform of Catalan numbers C(n+1).at n=7A130655
- Number of walks within N^2 (the first quadrant of Z^2) starting at (0,0) and consisting of n steps taken from {(-1, -1), (-1, 1), (0, 1), (1, -1), (1, 1)}.at n=7A151302
- Number of ways to place zero or more nonadjacent 1,1 2,1 3,0 3,1 3,2 3,3 4,2 5,3 polyhexes in any orientation on a planar nXnXn triangular grid.at n=7A155373
- a(2*n) = n*a(n); a(2*n+1) = n*a(n) + a(n+1), with a(1) = 1.at n=48A176528
- Number of different ways to select disjoint nonempty subsets from {1..n} with equal element sum.at n=11A196534
- Number of partitions of n that have even-sized Ferrers matrix.at n=36A238945
- Number of partitions p of n such that (maximal multiplicity of the parts of p) = (maximal part of p).at n=54A240312
- a(n) = Sum_{i=1..n} (-1)^{i+1} prime(i)^2, where prime(k) denotes the k-th prime: alternating sum of the squares of the first n primes.at n=32A240860
- Number of (2+1) X (n+1) 0..1 arrays with every 2 X 2 subblock ne-sw antidiagonal difference nondecreasing horizontally and nw+se diagonal sum nondecreasing vertically.at n=23A258555
- Coordination sequence for (2,4,5) tiling of hyperbolic plane.at n=31A265060
- Numbers that are not the difference of two binary palindromes (A006995).at n=27A290393
- Number of integer partitions of n whose weak run-sums cover an initial interval of nonnegative integers.at n=46A353863