Properties of the Number 20085

Twenty Thousand Eighty-Five

Basics

Value: 20084 → 20085 → 20086

Parity: odd

Prime: No

Previous Prime: 20071

Next Prime: 20089

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 13 × 103

Divisors: 1, 3, 5, 13, 15, 39, 65, 103, 195, 309

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100111001110101

Octal: 47165

Duodecimal: B759

Hexadecimal: 4e75

Square: 403407225

Square Root: 141.7215579931296

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 such that (8·10^k + 49)/3 is prime. A270890

Number T(n,k) of set partitions of [n] such that k is the largest element of the last block; triangle T(n,k), n>=1, 1<=k<=n, read by rows. A271466

T(n,k)=Number of length n+5 0..k arrays with every six consecutive terms having the maximum of some three terms equal to the minimum of the remaining three terms. A250336

Number of partitions of n in which each odd part has odd multiplicity. A131942

Number of ways to write n as an ordered sum of nine powers of 2. A342252

Number of partitions of n such that (least part) >= (multiplicity of least part). A240177

E.g.f.: A(x) = ∑_n>=0 (-log(1 - sin(n·x)))ⁿ/n!. A223898

Number of set partitions of [n] such that 8 is the largest element of the last block. A271747

Number of set partitions of [n+2] such that n is the largest element of the last block. A271753

Decimal part of a(n)^1/5 starts with a 'nine digits' anagram. A34280