Properties of the Number 593

Five Hundred Ninety-Three

Basics

Value: 592 → 593 → 594

Parity: odd

Prime: Yes

Previous Prime: 587

Next Prime: 599

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 593

Divisors: 1, 593

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001010001

Octal: 1121

Duodecimal: 415

Hexadecimal: 251

Square: 351649

Square Root: 24.351591323771842

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

Pythagorean primes: primes of the form 4·k + 1. A2144

Sophie Germain primes p: 2p+1 is also prime. A5384

Primes of the form 2x² + 2xy + 17y². A139827

Balanced primes (of order one): primes which are the average of the previous prime and the following prime. A6562

Ramanujan primes R_n: a(n) is the smallest number such that if x >= a(n), then π(x) - π(x/2) >= n, where π(x) is the number of primes <= x. A104272

Primes congruent to 1 or 2 modulo 4; or, primes of form x² + y²; or, -1 is a square mod p. A2313

Primes p such that p + 6 is also prime. (Lesser of a pair of sexy primes.) A23201

Primes of the form k² + k + 41. A5846

Primes of form 8n+1, that is, primes congruent to 1 mod 8. A7519

a(n) = binomial(n+1, 2) + n - 1 = n*(n+3)/2 - 1. A34856