Properties of the Number 4993

Four Thousand Nine Hundred Ninety-Three

Basics

Value: 4992 → 4993 → 4994

Parity: odd

Prime: Yes

Previous Prime: 4987

Next Prime: 4999

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 4993

Divisors: 1, 4993

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001110000001

Octal: 11601

Duodecimal: 2A81

Hexadecimal: 1381

Square: 24930049

Square Root: 70.66116330771806

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

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

Primes that remain prime when a single digit 9 is inserted between any two consecutive digits or as the leading or trailing digit. A215421

Primes congruent to 2 mod 31. A142006

Primes from merging of 4 successive digits in decimal expansion of e. A104845

Prime numbers congruent to 1 modulo 16 representable by both x² + 32·y² and x² + 64·y². A325067

Proth primes: primes of the form k·2^m + 1 with odd k < 2^m, m >= 1. A80076

a(n) = (4·n³ - 6·n² + 8·n + 3)/3. A161712

Primes with either no internal digits or all internal digits are 9. A69684

Initial term in sequence of four consecutive primes whose consecutive differences have d-pattern = [6, 4, 6]; short d-string notation for pattern = [646]. A78856

Primes having only {3, 4, 9} as digits. A199349