Properties of the Number 58253

Fifty-Eight Thousand Two Hundred Fifty-Three

Basics

Value: 58252 → 58253 → 58254

Parity: odd

Prime: No

Previous Prime: 58243

Next Prime: 58271

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 13 × 4481

Divisors: 1, 13, 4481, 58253

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110001110001101

Octal: 161615

Duodecimal: 29865

Hexadecimal: e38d

Square: 3393412009

Square Root: 241.3565826738521

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

Odd numbers producing exactly 3 odd numbers in the Collatz (3x+1) iteration. A198584

Odd numbers having no odd primes in their Collatz (3x+1) trajectory. A221475

Numbers of form 4^3·k+l+1/9 - 4^l/9 - 1/3 or 2·4^3·k+l+2/9 - 2·4^l/9 - 1/3, k,l>=0. A172143

Odd numbers producing 3 decreasing odd numbers in the Collatz (3x+1) iteration. A228872

a(n) = 3·A131666(n) - A131666(n+1). A135259

Last number in row n of triangle A199636. A199638

Triangular array: row n gives the coefficients of the polynomial p(n,x) defined in Comments. A247376

Odd numbers n containing 65536 as the highest power of 2 in their Collatz (3x+1) iteration. A247716

Numbers of the form (2^{2·j + 6·k + 5} - 2^{2·j + 1} - 3)/9, with j,k >= 0. A342815

Expansion of (1+3·x+9·x²+12·x³+11·x⁴+3·x⁵+x⁶)/((1-x)²*(1-x²)²*(1-x³)). A55383