Properties of the Number 42508

Forty-Two Thousand Five Hundred Eight

Basics

Value: 42507 → 42508 → 42509

Parity: even

Prime: No

Previous Prime: 42499

Next Prime: 42509

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 10627

Divisors: 1, 2, 4, 10627, 21254, 42508

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1010011000001100

Octal: 123014

Duodecimal: 20724

Hexadecimal: a60c

Square: 1806930064

Square Root: 206.17468321789656

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 of numbers arising in enumeration of walks on cubic lattice. A52179

Number of walks on cubic lattice starting and finishing on the xy plane and never going below it. A5572

a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ...+ a(n-1)*a(1) for n >= 3, with initial terms 2,1. A25228

E.g.f.: ∑_n>=0 xⁿ * (1 + xⁿ)ⁿ * exp(3·xⁿ⁺¹) / n!. A259203

Numbers k such that k-th and (k+1)-st term of A038593 differ by 3. A38634

Number of length-n binary words w such that ww is rich. A306314

Generalized Motzkin numbers: Square array read by descending antidiagonals, T(n, k) = k!*[x^k](exp(n·x)* BesselI₁(2·x)/x), n>=0, k>=0. A247495

Numerators of continued fraction convergents to sqrt(782). A42508

Number of (n+1) X (2+1) 0..2 arrays colored with the difference of the upper median and the lower median in each 2 X 2 subblock. A236029