Properties of the Number 85583

Eighty-Five Thousand Five Hundred Eighty-Three

Basics

Value: 85582 → 85583 → 85584

Parity: odd

Prime: No

Previous Prime: 85577

Next Prime: 85597

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 23 × 61 ²

Divisors: 1, 23, 61, 1403, 3721, 85583

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100111001001111

Octal: 247117

Duodecimal: 4163B

Hexadecimal: 14e4f

Square: 7324449889

Square Root: 292.54572292207587

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 τ(k) +- 1 is congruent to 0 (mod k), where τ is the Ramanujan τ function (A000594). A295654

Number of nX5 0..1 arrays with every element unequal to 0, 1, 2, 4, 7 or 8 king-move adjacent elements, with upper left element zero. A316542

Number of nX7 0..1 arrays with every element unequal to 0, 1, 2, 4, 7 or 8 king-move adjacent elements, with upper left element zero. A316544

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 4, 7 or 8 king-move adjacent elements, with upper left element zero. A316545

Number of (3412,1234)-avoiding involutions in S_n. A85583