Properties of the Number 21727

Twenty-One Thousand Seven Hundred Twenty-Seven

Basics

Value: 21726 → 21727 → 21728

Parity: odd

Prime: Yes

Previous Prime: 21713

Next Prime: 21737

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 21727

Divisors: 1, 21727

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101010011011111

Octal: 52337

Duodecimal: 106A7

Hexadecimal: 54df

Square: 472062529

Square Root: 147.40081410901365

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 having only {1, 2, 7} as digits. A260889

Mother primes of order 8. A136067

Numbers k such that 15·2^k - 1 is prime. A2237

Primes p such that x³⁶ = 2 has no solution mod p, but x¹² = 2 has a solution mod p. A59668

Prime numbers p for which the quintic polynomial x⁵ - x - 1 modulo p completely factors into linear polynomials. A135844

Prime numbers p not of the form 10·k+1 for which the quintic polynomial x⁵-x-1 modulus p is factorizable into five binomials. A135845

Primes congruent to 15 mod 59. A142742

Primes p such that p+p²+p³-+2 are also prime. A154821

a(n) = 2·n³ - 313·n² + 6823·n - 13633. A218456

Primes p with π(p) and π(p²) both prime, where π(.) is given by A000720. A237659