Properties of the Number 9085

Nine Thousand Eighty-Five

Basics

Value: 9084 → 9085 → 9086

Parity: odd

Prime: No

Previous Prime: 9067

Next Prime: 9091

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 5 × 23 × 79

Divisors: 1, 5, 23, 79, 115, 395, 1817, 9085

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001101111101

Octal: 21575

Duodecimal: 5311

Hexadecimal: 237d

Square: 82537225

Square Root: 95.31526635329726

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 11-regular partitions of n (no part is a multiple of 11). A328545

Positions of ones in A264977; positions of twos in A277330. A277701

T(n,k)=Number of nXk binary arrays with some element plus some horizontally, vertically or antidiagonally adjacent neighbor totalling two exactly once. A268789

Sums of 7 distinct powers of 3. A38469

a(n) = 1 + ∑_k=0..n-4 a(k) * a(n-k-4). A346073

Expansion of q^1/4 * (η(q) / η(q³))³ in powers of q. A199659

Expansion of 1/(1 - x³ - x⁴ - x⁵ - x⁶ + x⁹). A225484

G.f.: ∑_n>=0 (n+1)*(n+2)*(n+3)*(n+4)/4! * xⁿ * (1 + xⁿ)ⁿ. A326005

Expansion of e.g.f. 1 / (4 - 3·exp(x))^5/3. A375952

Numbers k such that the largest prime factor of k is equal to the sum of primes dividing k+1 (with repetition). A71861