10764
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 30576
- Proper Divisor Sum (Aliquot Sum)
- 19812
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3168
- Möbius Function
- 0
- Radical
- 1794
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 4
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
- yes
- 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
- Nearest integer to n^(5/2).at n=41A036488
- An approximation to sigma_{5/2}(n): floor( sum_{d|n} d^(5/2) ).at n=40A058272
- LCM of terms in periodic part of continued fraction expansion of square root of -1+3^n.at n=6A077635
- Let A denote the sequence; then A is equal to the union of the self-convolutions A^2 and A^4, with terms in ascending order by size, where a(0)=1.at n=25A090847
- Positions of 9 in partition of decimal expansion of Pi A104807.at n=40A104809
- Triangle read by rows: T(n,k) is the number of deco polyominoes of height n and having k 1-cell columns (0<=k<=n). A deco polyomino is a directed column-convex polyomino in which the height, measured along the diagonal, is attained only in the last column.at n=37A121554
- Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+809)^2 = y^2.at n=5A123654
- a(n) = 10*binomial(n,2) + 9*n.at n=46A135705
- Number of ways to place zero or more nonadjacent 1,1 2,1 2,2 3,1 4,0 4,1 polyhexes in any orientation on a planar nXnXn triangular grid.at n=6A155256
- Triangle, read by rows, where g.f.: A(x,y) = exp( Sum_{n>=1} (3^n + y)^n * x^n/n ) is a power series in x and y with integer coefficients.at n=12A155812
- a(n) = 4*n^2 + 79*n + 390.at n=41A157434
- a(n) = 16*n^2 - 2*n.at n=25A158058
- Numbers that are the sum of two reversed consecutive primes in more than one way.at n=34A162705
- Partial sums of partial sums of (A001840 interleaved with zeros).at n=44A165189
- Number of line segments connecting exactly 7 points in an n X n grid of points.at n=32A177723
- Number of (w,x,y,z) with all terms in {1,...,n} and w+|x-y|<=|x-z|+|y-z|.at n=27A212691
- a(n) = Sum_{k=1..n-1} k^4*sigma(k)*sigma(n-k).at n=5A259692
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 481", based on the 5-celled von Neumann neighborhood.at n=23A272457
- a(n) is the number of regions formed by n-secting the angles of a nonagon (enneagon).at n=25A335781
- Create the sequence of all positive integers > 1 that are prime or whose prime shadow (A181819) is a divisor that is already in the sequence. Then remove all the primes.at n=42A353389