Properties of the Number 12805

Twelve Thousand Eight Hundred Five

Basics

Value: 12804 → 12805 → 12806

Parity: odd

Prime: No

Previous Prime: 12799

Next Prime: 12809

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 5 × 13 × 197

Divisors: 1, 5, 13, 65, 197, 985, 2561, 12805

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001000000101

Octal: 31005

Duodecimal: 74B1

Hexadecimal: 3205

Square: 163968025

Square Root: 113.1591799192624

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 subsets S of {1,2,...,n} which contain a number that is greater than the sum of the other numbers in S. A95944

a(n) = σ(n)*Pell(n), where σ(n) = A000203(n), the sum of divisors of n. A204271

a(n) = 12·n² - 8·n + 1. A185212

a(n) = 13·n² - 16·n + 5. A202141

Numbers of the form p·q*r where p, q, r are distinct primes congruent to 1 mod 4 such that Legendre(p/q) = Legendre(p/r) = Legendre(q/r) = -1. A323271

Numbers k such that continued fraction of (1 + sqrt(k))/2 has period 17. A146340

Pseudoprimes to base 14. A20142

Largest integer terms forming a self-convolution cube-root of a sequence (A132835) such that: A132835(n) <= 3·A132835(n-1) for n>0 with A132835(0)=1. A132836

A122890 + A000012 - I, I = Identity matrix. A135723

Total number of parts of multiplicity 9 in all partitions of n. A222709