Properties of the Number 18503

Eighteen Thousand Five Hundred Three

Basics

Value: 18502 → 18503 → 18504

Parity: odd

Prime: Yes

Previous Prime: 18493

Next Prime: 18517

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 18503

Divisors: 1, 18503

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 100100001000111

Octal: 44107

Duodecimal: A85B

Hexadecimal: 4847

Square: 342361009

Square Root: 136.02573285963211

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

a(n) = smallest prime divisor of A138957(n). A138960

a(1) = 37. For n > 1, a(n) = smallest prime q such that q^a(n-1-1) == 1 (mod a(n-1)²). A355600

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

Expansion of ∏_k>=0 (1-x^4·k+1)^4·k+1. A285070

Primes of the form 36·n² - 810·n + 2753, n >= 0, sorted. A22464

Expansion of ∏_k>=0 (1 + x^4·k+1)^4·k+1. A285288

Primes of the form k² + 7. A79138

Primes prime(j) such that prime(j)-j is a true power of prime. A83240

a(n) = 22·n² + 1. A158537