Properties of the Number 58589

Fifty-Eight Thousand Five Hundred Eighty-Nine

Basics

Value: 58588 → 58589 → 58590

Parity: odd

Prime: No

Previous Prime: 58579

Next Prime: 58601

Digit Sum: 35

Digital Root: 8

Palindrome: No

Factorization: 41 × 1429

Divisors: 1, 41, 1429, 58589

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110010011011101

Octal: 162335

Duodecimal: 29AA5

Hexadecimal: e4dd

Square: 3432670921

Square Root: 242.05164738129753

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

Composite numbers k coprime to 13 such that k divides A006190(k-Kronecker(13,k)). A327653

T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having directed index change 0,0 0,1 1,0 -1,-2 or 0,2. A264313

Numbers m such that 2^m == -1/2 (mod m). A296369

Integers m such that φ(σ(k))/σ(φ(k)) > φ(σ(m))/σ(φ(m)) for all k<m. A227011

Number of (n+1)X(3+1) arrays of permutations of 0..n·4+3 with each element having directed index change 0,0 0,1 1,0 -1,-2 or 0,2. A264308

Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 96. A31684

Number of (5+1)X(n+1) arrays of permutations of 0..n·6+5 with each element having directed index change 0,0 0,1 1,0 -1,-2 or 0,2. A264318

Expansion of 1/(1 - x/(1 - 2·x/(1 - 2·x/(1 - 4·x/(1 - 4·x/(1 - 6·x/(1 - 6·x/(1 - ...)))))))), a continued fraction. A305535

McKay-Thompson series of class 24f for Monster. A58589