Properties of the Number 47813

Forty-Seven Thousand Eight Hundred Thirteen

Basics

Value: 47812 → 47813 → 47814

Parity: odd

Prime: No

Previous Prime: 47809

Next Prime: 47819

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 137 × 349

Divisors: 1, 137, 349, 47813

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011101011000101

Octal: 135305

Duodecimal: 23805

Hexadecimal: bac5

Square: 2286082969

Square Root: 218.66183937761065

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

Number of circular compositions of n such that no two adjacent parts are equal. A106369

Number of nonequivalent dissections of an n-gon into n-4 polygons by nonintersecting diagonals rooted at a cell up to rotation and reflection. A3448

G.f. A(x) satisfies: A(x) = x + x² / exp(A(x) + A(x²)/2 + A(x³)/3 + A(x⁴)/4 + ...). A345232

Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 25. A31613

Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 17. A51982

Number of n X n binary arrays symmetric under 180 degree rotation with all ones connected only in a 1100-1111-0100-0100 pattern in any orientation. A147474

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (0, 1, -1), (1, 0, 0), (1, 1, -1), (1, 1, 1)}. A150632

Largest palindromic substring of n. A47813