Properties of the Number 20249

Twenty Thousand Two Hundred Forty-Nine

Basics

Value: 20248 → 20249 → 20250

Parity: odd

Prime: Yes

Previous Prime: 20233

Next Prime: 20261

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 20249

Divisors: 1, 20249

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100111100011001

Octal: 47431

Duodecimal: B875

Hexadecimal: 4f19

Square: 410022001

Square Root: 142.29898102235308

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 of the form 36·k² - 810·k + 2753, listed in order of increasing parameter k >= 0. A50268

Primes p for which the period of reciprocal = (p-1)/8. A56213

Luhn primes: primes p such that p + (p reversed) is also a prime. A61783

a(n) = (4·n³-3·n²+5·n-3)/3. A177342

Numbers k such that k¹⁴ == 1 (mod 15³). A56087

Primes of the form 10·k² - 1. A143828

Primes p such that A001177(p) = (p-1)/8. A308801

Primes p such that p-1 and p+1 each contain at least one cubed prime in their prime factorization. A162870

a(n) = 36·n² - 810·n + 2753, producing the conjectured record number of 45 primes in a contiguous range of n for quadratic polynomials, i.e., abs(a(n)) is prime for 0 <= n < 44. A117081

a(n) is the minimal odd evil k, such that kⁱ, i=1,2,...,n, all are evil, and a(n)=0, if there is no such k. A230495