Properties of the Number 19508

Nineteen Thousand Five Hundred Eight

Basics

Value: 19507 → 19508 → 19509

Parity: even

Prime: No

Previous Prime: 19507

Next Prime: 19531

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 4877

Divisors: 1, 2, 4, 4877, 9754, 19508

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100110000110100

Octal: 46064

Duodecimal: B358

Hexadecimal: 4c34

Square: 380562064

Square Root: 139.6710420953463

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

Numbers k such that 3^k - 32 is prime. A219049

Number of configurations of the 6 X 2 variant of the so-called "Sam Loyd" sliding block 15-puzzle that require a minimum of n moves to be reached, starting with the empty square in one of the corners. A90167

Triangle, read by rows, where the g.f. of row n divided by (1-x)ⁿ yields the g.f. of column n in the triangle A122888, for n>=1. A122890

Triangle, read by rows n>=1, where row n is the n-th differences of column n of array A158825, where the g.f. of row n of A158825 is the n-th iteration of x·Catalan(x). A158830

Numbers k such that k + sopfr(k) is a cube. A389862

Sum of squares of parts of the partitions of 2n into two squarefree parts. A280316

G.f. satisfies: A(x) = (A(x²) + x)². A224272

Number of length n+6 0..1 arrays with at most one downstep in every 6 consecutive neighbor pairs. A255990

Triangle, read by rows, where row n lists the coefficients of x^k, k=1..2ⁿ, in the n-th iteration of (x + x²) for n>=0. A122888

Square array of coefficients in the successive iterations of x·C(x) = (1-sqrt(1-4·x))/2 where C(x) is the g.f. of the Catalan numbers (A000108); read by antidiagonals. A158825