Properties of the Number 56064

Fifty-Six Thousand Sixty-Four

Basics

Value: 56063 → 56064 → 56065

Parity: even

Prime: No

Previous Prime: 56053

Next Prime: 56081

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁸ × 3 × 73

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1101101100000000

Octal: 155400

Duodecimal: 28540

Hexadecimal: db00

Square: 3143172096

Square Root: 236.77837739117987

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Triangle T, read by rows, where T(n,k) = [T^{2^k}](n-k,0) * (2^k)^n-k for n>=k>=0 such that row n of the 2^n-1-th root of T consists solely of integers given by: [T^{1/2^(n-1} )](n,k) = (2^k)^n-k for n>=0. A134049

a(n) = binomial(n+5,6) + binomial(n+3,3) + binomial(n+2,3) + binomial(n-1,1). A105450

Decimal representation of the diagonal from the origin to the corner of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 598", based on the 5-celled von Neumann neighborhood. A289769

Number of 6-cycles in the n-Sierpinski tetrahedron graph. A292545

G.f.: exp( ∑_n>=1 A005064(n)*xⁿ/n ), where A005064(n) = sum of cubes of primes dividing n. A220427

a(n) = 2ⁿ*(3·n² + 13·n + 8)/8. A136530

Number of (n+1) X (5+1) 0..2 arrays colored with the upper median value of each 2 X 2 subblock. A235951

Triangle T(n,k) in which the n-th row encodes the inverse of a 3n+1 X 3n+1 Jacobi matrix, with 1's on the lower, main, and upper diagonals in GF(2), where the encoding consists of the decimal representations for the binary rows (n >= 1, 1 <= k <= 3n+1). A363099

A triangle of coefficients of a product polynomial sequence based on Chebyshev T:differentiation of T[(x,n) which gives U(x,n): p(x,n) = ∏_m=0..n ∑_i=0..m (d/dx) T(x,i+1). A139809

Column 0 of the matrix logarithm of triangular matrix A134049. A274477