Properties of the Number 52905

Fifty-Two Thousand Nine Hundred Five

Basics

Value: 52904 → 52905 → 52906

Parity: odd

Prime: No

Previous Prime: 52903

Next Prime: 52919

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 3527

Divisors: 1, 3, 5, 15, 3527, 10581, 17635, 52905

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1100111010101001

Octal: 147251

Duodecimal: 26749

Hexadecimal: cea9

Square: 2798939025

Square Root: 230.01086930838724

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

T(n, k) = ∑_j=k..n binomial(n, j)*E1(j, j-k), where E1 are the Eulerian numbers A173018. Triangle read by rows, T(n, k) for 0 <= k <= n. A46802

Triangle T(n,k) read by rows: T(n,k) is the number of length-n ascent sequences with exactly k descents. A238858

Expansion of x²/((1-3·x)*(1-2·x)²). A66810

Triangular array: the fission of ((2x+1)ⁿ) by (q(n,x)), where q(n,x)=xⁿ+x^n-1+...+x+1. A193860

Number of vertices in a complete bipartite graph where the vertices in the two parts are placed on opposite sides of a parabola at integer y coordinates y = 1, 2, ...n. A392442

Mirror of the triangle A193860. A193861

Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 92. A31770

a(n) = (n² + 7·n + 2)/2. A52905

a(n) = n¹⁰*(n + 1)/2. A170793

a(n) = (5n+1)⁵. A16865