Properties of the Number 57731

Fifty-Seven Thousand Seven Hundred Thirty-One

Basics

Value: 57730 → 57731 → 57732

Parity: odd

Prime: Yes

Previous Prime: 57727

Next Prime: 57737

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 57731

Divisors: 1, 57731

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110000110000011

Octal: 160603

Duodecimal: 294AB

Hexadecimal: e183

Square: 3332868361

Square Root: 240.27276166889996

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

Write fundamental unit for real quadratic field of discriminant n as x + y*ω; sequence gives values of·for n == 1 mod 4. A53370

First coordinate of fundamental unit of real quadratic field with discriminant A003658(n), n >= 2. A14000

Primes p such that continued fraction of (1 + sqrt(p))/2 has period 10 : primes in A146335. A146355

a(n) = 121·n² - 38·n + 3. A157443

Primes p that set a new record for the size of the smallest prime q such that q^p-1 == 1 (mod p²), i.e., such that p is a base-q Wieferich prime. A289379

Irregular triangle read by rows: T(n,k) = number of elements of order k in symmetric group S_n, for n >= 1, 1 <= k <= g(n), where g(n) = A000793(n) is Landau's function. A57731