Properties of the Number 57973

Fifty-Seven Thousand Nine Hundred Seventy-Three

Basics

Value: 57972 → 57973 → 57974

Parity: odd

Prime: Yes

Previous Prime: 57947

Next Prime: 57977

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 57973

Divisors: 1, 57973

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110001001110101

Octal: 161165

Duodecimal: 29671

Hexadecimal: e275

Square: 3360868729

Square Root: 240.77582935170216

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

Primes p2 such that p1³ + p2² is an average of twin primes and p1 < p2 are consecutive primes. A138755

Primes which are triangular numbers plus 3. A159047

Let p_4,1(m) be the m-th prime == 1 (mod 4). Then a(n) is the smallest p_4,1(m) such that the interval(p_4,1(m)*n, p_4,1(m+1)*n) contains exactly one prime == 1 (mod 4). A210475

Primes of the form 7n² + 6. A201607

Primes of the form 3n² + 10. A201480

Number of polybricks: number of ways to arrange n 1 X 2 "bricks" in a wall (see illustrations). A57973