8726
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 13092
- Proper Divisor Sum (Aliquot Sum)
- 4366
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4362
- Möbius Function
- 1
- Radical
- 8726
- Omega Function (Ω)
- 2
- 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
- 140
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- 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 92.at n=20A031590
- Expansion of (1-x)^(-1)/(1-x+x^2-2*x^3).at n=28A077871
- Number of subsets of the first n numbers having a common divisor greater than 1.at n=26A109511
- Integers k such that 10^k+37 is a prime number.at n=22A135109
- Number of different strings of length n obtained from "abcd" by iteratively duplicating any substring.at n=12A137744
- Binomial transform of [1, 3, 7, 0, 0, 0, ...].at n=50A140063
- Parameters k for which the Tate-Shafarevich group Ш of the elliptic curve y^2=x^3+k has order 16.at n=11A179130
- Number of n X 6 binary arrays without the pattern 0 1 diagonally, vertically or antidiagonally.at n=36A188863
- Number of right triangles on an (n+1) X 5 grid.at n=16A189809
- Number of permutations in S_{n+2} containing an increasing subsequence of length n.at n=11A217200
- Number of (n+1) X (1+1) 0..2 arrays with nondecreasing min(x(i,j),x(i,j-1)) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction.at n=4A250987
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with nondecreasing min(x(i,j),x(i,j-1)) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction.at n=14A250994
- Number of (5+1)X(n+1) 0..2 arrays with nondecreasing min(x(i,j),x(i,j-1)) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction.at n=0A250999
- Number of (3+2) X (n+2) 0..3 arrays with every consecutive three elements in every row and diagonal having exactly two distinct values, and in every column and antidiagonal not having exactly two distinct values, and new values 0 upwards introduced in row major order.at n=25A252722
- Indices of primes in the 10th-order Fibonacci number sequence, A127194.at n=24A257073
- Triangle read by rows: T(n,k) = number of partial idempotent mappings (of an n-chain) with (right) waist exactly k.at n=48A258579
- Number of connected undirected unlabeled loopless multigraphs with 4 vertices and n edges.at n=27A290778
- Number of fixed polyominoes with n cells that have a diagonal axis of symmetry going from lower left to upper right.at n=16A346800
- a(n) is the smallest number which can be represented as the sum of two distinct nonzero heptagonal numbers in exactly n ways, or -1 if no such number exists.at n=2A374142