Properties of the Number 10805

Ten Thousand Eight Hundred Five

Basics

Value: 10804 → 10805 → 10806

Parity: odd

Prime: No

Previous Prime: 10799

Next Prime: 10831

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 5 × 2161

Divisors: 1, 5, 2161, 10805

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101000110101

Octal: 25065

Duodecimal: 6305

Hexadecimal: 2a35

Square: 116748025

Square Root: 103.9471019317037

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

a(n) = 8·n² - 4·n + 1. A80856

Values·corresponding to the records d in A179406. A179407

Denominator of (1+σ(s)) / ((s+1)/2), where s is the square of n prime-shifted once (s = A003961(n)² = A003961(n²)). A337339

a(n) = r·a(ceiling(n/2))+s·a(floor(n/2)) with a(1)=1 and (r,s)=(4,1). A268527

Square array read by ascending antidiagonals: T(n,k) = [x^k] 1/(1 + x) * Legendre_P(k, (1 - x)/(1 + x))^-n for n >= 1, k >= 0. A364298

a(n) = A048673(n²). A337336

a(n) = [xⁿ] 1/(1 + x) * Legendre_P(n, (1 - x)/(1 + x))^-n for n >= 0. A364301

Inverse binomial transform of A156616. A294505

a(n) = (2·n-1)² + (2·n)². A60820

Expansion of 1/(1-x+x²-2·x³). A77951