Properties of the Number 10705

Ten Thousand Seven Hundred Five

Basics

Value: 10704 → 10705 → 10706

Parity: odd

Prime: No

Previous Prime: 10691

Next Prime: 10709

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 5 × 2141

Divisors: 1, 5, 2141, 10705

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10100111010001

Octal: 24721

Duodecimal: 6241

Hexadecimal: 29d1

Square: 114597025

Square Root: 103.46496991735899

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 that are the products of two distinct primes such that 2·k-1, 4·k-3, 8·k-7, 16·k-15 and 32·k-31 are also products of two distinct primes. A177214

a(n) = 104·n + 9977. A126978

The reversing binary representation of the sum of the divisors of the n-th odd square: a(n) = A065621(A379223(n)). A379224

Denominators of continued fraction convergents to sqrt(78). A41139

Numerators of continued fraction convergents to sqrt(383). A41726

Expansion of 1/(1 - x + x³ - 3·x⁴ + x⁵ - x⁷ + x⁸). A147593

Where records occur in A169784. A175437

a(n) = floor((3·4ⁿ + 2·3ⁿ)/5). A178934

The number of divisors d of n! such that the symmetric group on n letters contains no elements of order d. A211392

Number of (w,x,y,z) with all terms in {1,...,n} and 2∣w-x|=|x-y|+|y-z|. A212575