10534
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 16560
- Proper Divisor Sum (Aliquot Sum)
- 6026
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5016
- Möbius Function
- -1
- Radical
- 10534
- Omega Function (Ω)
- 3
- 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
- 42
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- Number of partitions of n into parts not of the form 19k, 19k+4 or 19k-4. Also number of partitions with at most 3 parts of size 1 and differences between parts at distance 8 are greater than 1.at n=36A035973
- Number of catacondensed simply-connected monopentapolyhexes (catafusenes).at n=8A046697
- Convolution of L(n+1) := A000204(n+1) (Lucas), n>=0, with L(n+7), n>=0.at n=7A067985
- Number of index tests required to create all permutations of n distinct elements using the "streamlined" version of Algorithm L (lexicographic permutation generation) from Knuth's The Art of Computer Programming, Vol. 4, chapter 7.2.1.2.at n=5A079885
- Column 4 of triangle A091602.at n=40A091607
- 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, 1), (-1, 0, 1), (0, 1, -1), (1, -1, 0), (1, 0, 0)}.at n=10A148112
- An alternating 2-based sum from prime(n) up to the base of the n-th Mersenne prime.at n=18A162848
- T(n,k) = 2*A046802(n,k) - A007318(n,k), triangle read by rows (0 <= k <= n).at n=38A168287
- T(n,k) = 2*A046802(n,k) - A007318(n,k), triangle read by rows (0 <= k <= n).at n=42A168287
- Number of tilings of a 6 X n rectangle using right trominoes and 2 X 2 tiles.at n=8A219947
- Number of tilings of an 8 X n rectangle using right trominoes and 2 X 2 tiles.at n=6A219949
- Number of (n+3)X(2+3) 0..3 black square subarrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, and upper left element zero.at n=3A231020
- Number of (n+3)X(4+3) 0..3 black square subarrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, and upper left element zero.at n=1A231021
- T(n,k)=Number of (n+3)X(k+3) 0..3 black square subarrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, and upper left element zero.at n=11A231023
- T(n,k)=Number of (n+3)X(k+3) 0..3 black square subarrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, and upper left element zero.at n=13A231023
- Numbers n such that Bernoulli number B_{n} has denominator 282.at n=29A272184
- Number of normal patterns matched by integer partitions of n.at n=19A335837
- Number of catafusenes with 2n hexagons and D_{2h}(a) symmetry.at n=16A342570
- Numbers that are the sum of ten fourth powers in ten or more ways.at n=40A345603
- Numbers that are the sum of ten fourth powers in exactly ten ways.at n=32A345862