Properties of the Number 2591

Two Thousand Five Hundred Ninety-One

Basics

Value: 2590 → 2591 → 2592

Parity: odd

Prime: Yes

Previous Prime: 2579

Next Prime: 2593

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2591

Divisors: 1, 2591

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101000011111

Octal: 5037

Duodecimal: 15BB

Hexadecimal: a1f

Square: 6713281

Square Root: 50.90186637049765

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

a(n) = ∑_{d divides n} q(d), where q(d) = A000009 = number of partitions of d into distinct parts. A47966

Primes of the form k² + k + 41. A5846

a(n) = 2·n² - 1. A56220

Numbers n such that (17ⁿ - 2ⁿ)/15 is prime. A225807

Primes with 7 as smallest primitive root. A1126

Class 1+ primes: primes of the form 2ⁱ*3^j - 1 with i, j >= 0. A5105

Primes of the form 2·n² - 1. A66436

Honaker primes: primes P(k) such that sum of digits of P(k) equals sum of digits of k. A33548

Members of A164368 which are not Ramanujan primes. A164288

Triangle read by rows: T(n,k) is the number of k-block partitions of an n-set up to rotations. A152175