Properties of the Number 85684

Eighty-Five Thousand Six Hundred Eighty-Four

Basics

Value: 85683 → 85684 → 85685

Parity: even

Prime: No

Previous Prime: 85669

Next Prime: 85691

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 31 × 691

Divisors: 1, 2, 4, 31, 62, 124, 691, 1382, 2764, 21421

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100111010110100

Octal: 247264

Duodecimal: 41704

Hexadecimal: 14eb4

Square: 7341747856

Square Root: 292.7182946110475

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 k¹² == 1 (mod 13⁴). A56095

Maximum number of tatami tilings of any m X m square region with exactly n horizontal dimers and m monomers. A192096

a(n) = smallest number with the property that the split-and-multiply technique (see A361338) in base n can produce all n single-digit numbers. A361340

Number of partitions p of n such that max(p) - min(p) is not a part of p. A238494

Triangle read by rows: T(n,k), n >= 0, 0 <= k <= n, is size of maximal 1-transposition-correcting code formed using binary vectors of length n and weight k. A85684