Properties of the Number 8085

Eight Thousand Eighty-Five

Basics

Value: 8084 → 8085 → 8086

Parity: odd

Prime: No

Previous Prime: 8081

Next Prime: 8087

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 7 ² × 11

Divisors: 1, 3, 5, 7, 11, 15, 21, 33, 35, 49

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111110010101

Octal: 17625

Duodecimal: 4819

Hexadecimal: 1f95

Square: 65367225

Square Root: 89.9166280506559

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

Odd abundant numbers (odd numbers m whose sum of divisors exceeds 2m). A5231

Odd primitive abundant numbers. A6038

Expansion of (∏_j>=1 (1-(-x)^j) - 1)¹¹ in powers of x. A47649

Triangle T(n,k) read by rows: coefficients of polynomials P_n(t) defined in Formula section. A286781

Second 11-gonal (or hendecagonal) numbers: a(n) = n*(9·n+7)/2. A62728

5 times pentagonal numbers: 5·n*(3·n-1)/2. A152734

Square array T(n,k), n >= 1, k >= 1, read by antidiagonals, where T(n,k) = ∑_j=1..n gcd(j, n)^k. A343510

Numbers n for which nontrivial positive magic squares of exactly 10 different orders with magic sum n exist. For a definition of nontrivial positive magic squares, see A125005. A125017

a(n) = ∏_{d∣n, d>1} A000040(A297113(d)), where A000040(n) gives the n-th prime, and A297113(n) = the excess of n plus the index of the largest dividing prime (A046660 + A061395). A332461

a(n) = 7·n² + 14·n. A67727