Properties of the Number 8705

Eight Thousand Seven Hundred Five

Basics

Value: 8704 → 8705 → 8706

Parity: odd

Prime: No

Previous Prime: 8699

Next Prime: 8707

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 5 × 1741

Divisors: 1, 5, 1741, 8705

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001000000001

Octal: 21001

Duodecimal: 5055

Hexadecimal: 2201

Square: 75777025

Square Root: 93.30058949438637

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) = 10ⁿ-6ⁿ+1. A155653

Triangle of numbers related to the generalized Catalan sequence C(2;n+1)=A064062(n+1), n>=0. A113647

T(n,k) is the number of (n+1) X (k+1) 0..1 arrays with the permanents of all 2 X 2 subblocks equal and nonzero. A204713

a(n) = r·a(ceiling(n/2))+s·a(floor(n/2)) with a(1)=1 and (r,s)=(3,2). A268526

Number of partitions p of n such that (number of numbers in p that have multiplicity 1) > (number of numbers in p having multiplicity > 1). A329976

Square array A(n,k), n >= 1, k >= 0, read by antidiagonals, where A(n,k) is ∑_d∣n d^k·n/d. A308509

a(n) = a(n-1)+a(n-2)+a(n-3)+(8·n³-48·n²+112·n-96)/3 with a(0)=0, a(1)=0 and a(2)=1. A180670

a(n) = 384·n + 257. A229855

a(n) = 512·n + 1. A76338

Potential magic constants of 7 X 7 magic squares composed of consecutive primes. A188536