Properties of the Number 35564

Thirty-Five Thousand Five Hundred Sixty-Four

Basics

Value: 35563 → 35564 → 35565

Parity: even

Prime: No

Previous Prime: 35543

Next Prime: 35569

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 17 × 523

Divisors: 1, 2, 4, 17, 34, 68, 523, 1046, 2092, 8891

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000101011101100

Octal: 105354

Duodecimal: 186B8

Hexadecimal: 8aec

Square: 1264798096

Square Root: 188.58419870180003

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

Maximal entry in row n of triangle in A169950. A169954

a(n) = (n-dimensional partitions of 6) + C(n,4) + C(n,3). A8780

L.g.f.: G(x) = exp( ∑_n>=1 a(n)*xⁿ/n ) where G(x) = exp( ∑_n>=1 G(a(n)*xⁿ)*xⁿ/n ). A179491

Number of n X 3 nonnegative integer arrays with upper left 0 and lower right its king-move distance away minus 3 and every value increasing by 0 or 1 with every step right, diagonally se or down. A253006

T(n,k)=Number of nXk nonnegative integer arrays with upper left 0 and lower right its king-move distance away minus 3 and every value increasing by 0 or 1 with every step right, diagonally se or down. A253011

Number of partitions of n with equal nonzero number of parts congruent to each of 0 and 3 (mod 5). A35564