8524
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 14924
- Proper Divisor Sum (Aliquot Sum)
- 6400
- 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
- 4260
- Möbius Function
- 0
- Radical
- 4262
- 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
- 78
- 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
- Number of n-bead bracelets (turnover necklaces) of two colors with 10 red beads and n-10 black beads.at n=11A005515
- Number of connected unit interval graphs with n nodes; also number of bracelets (turnover necklaces) with n black beads and n-1 white beads.at n=10A007123
- Convolution of Lucas numbers and A001950.at n=12A023622
- Number of bracelets (turnover necklaces) of n beads of 2 colors, 11 of them black.at n=10A032282
- Numbers k such that k^256 + 1 is prime.at n=24A056995
- Numbers n such that x^n + x + 2 is irreducible over GF(3).at n=15A058059
- Interprimes which are of the form s*prime, s=4.at n=33A075279
- Triangle of T1(n,m) = number of bracelets (necklaces that can be turned over) with m white beads and (2n+1-m) black ones, for 1<=m<=n.at n=54A078925
- Number of cycles in range [A014137(n-1)..A014138(n-1)] of permutation A069772.at n=10A089880
- Sequence generated from a Knight's tour of a 4 X 4 chessboard considered as a matrix.at n=2A094895
- Number of squares on infinite half chessboard at <=n knight moves from a fixed point on the diagonal.at n=35A098499
- Absolute row sums of triangle A102587, which is equal to the matrix inverse of triangle A094531 (the right-hand side of trinomial table A027907).at n=16A102588
- Diagonal elements A122445(n+1,n) of the pendular trinomial triangle A122445.at n=8A122448
- Expansion of 8/(sqrt(1-8*x)*(sqrt(1-8*x)+4*x+7)).at n=5A128419
- Number of labeled n-node graphs with at most one cycle in each connected component.at n=6A133686
- Square array read by antidiagonals: T(m,n) = H(n,2*m)*(2*m)!/(2*m+2*n-1). H(0,m) = 1/m, for all positive integers m. H(n,m) = Sum_{k=1..m} H(n-1,k).at n=30A136205
- Numbers n such that 9n^2 is a zeroless pandigital number.at n=21A162859
- Numbers n such that the trinomial x^n-x-1 is irreducible over GF(3).at n=28A223938
- Number of partitions of n such that the sum of squares of the parts is a square.at n=53A240127
- Numbers k such that 9*R_(k+2) - 10^k is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=15A257041