Properties of the Number 8185

Eight Thousand One Hundred Eighty-Five

Basics

Value: 8184 → 8185 → 8186

Parity: odd

Prime: No

Previous Prime: 8179

Next Prime: 8191

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 5 × 1637

Divisors: 1, 5, 1637, 8185

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111111111001

Octal: 17771

Duodecimal: 48A1

Hexadecimal: 1ff9

Square: 66994225

Square Root: 90.47098982546837

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 9th-order Fibonacci sequence. A127193

E.g.f.: ∑_n>=0 xⁿ * exp(n²*x). A193421

T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having directed index change 1,0 0,-1 1,2 or -1,1. A264583

a(n) = T(7,n), array T given by A048483. A48490

a(n) = 3·a(n-1) - a(n-2) - 3·a(n-3) + 2·a(n-4). A84174

Number of partitions p of n such that (number of numbers of the form 5k + 3 in p) is a part of p. A241552

Sum of the smallest parts of the partitions of n into 5 parts. A308823

a(n) = 8·4ⁿ - 7. A141722

Numbers k such that continued fraction of (1 + sqrt(k))/2 has period 11. A146335

Number of partitions of n in which any two parts differ by at most 5. A218507