Properties of the Number 54713

Fifty-Four Thousand Seven Hundred Thirteen

Basics

Value: 54712 → 54713 → 54714

Parity: odd

Prime: Yes

Previous Prime: 54709

Next Prime: 54721

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 54713

Divisors: 1, 54713

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101010110111001

Octal: 152671

Duodecimal: 277B5

Hexadecimal: d5b9

Square: 2993512369

Square Root: 233.90810161257775

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

Septic artiads: primes p congruent to 1 mod 14 for which all solutions of the congruence x³ + x² - 2x - 1 == 0 (mod p) are 7th power residues. A270800

Primes that remain prime through 3 iterations of function f(x) = 2x + 7. A23275

Primes p such that, if q is the next prime, p² + q is a prime times a power of 10. A352852

Primes that remain prime through 4 iterations of function f(x) = 2x + 7. A23305

Sum over all Motzkin paths of length n of products over all peaks p of (n·x_p+y_p)/y_p, where x_p and y_p are the coordinates of peak p. A261785

Primes that remain prime through 5 iterations of function f(x) = 2x + 7. A23333

A proximate-prime polynomial sequence generated by 2·n² - 2·n + 53089. A155557

Number of powers of 13 modulo n. A54713

The largest positive number that can be added to n the maximum number of times, see A343921(n), such that the digits in each resulting sum are distinct, or -1 if no such number exists. A343922