Properties of the Number 20173

Twenty Thousand One Hundred Seventy-Three

Basics

Value: 20172 → 20173 → 20174

Parity: odd

Prime: Yes

Previous Prime: 20161

Next Prime: 20177

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 20173

Divisors: 1, 20173

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 100111011001101

Octal: 47315

Duodecimal: B811

Hexadecimal: 4ecd

Square: 406949929

Square Root: 142.03168660548954

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

Numbers n such that binomial(2n, n) - 1 is prime. A66726

Primes of the form p(k)² + q(m)² with k > 0 and m > 0, where p(.) is the partition function (A000041), and q(.) is the strict partition function (A000009). A233346

a(n) = T(2n,n-1), T given by A026769. A26771

Primes p for which exactly four bases b with 1 < b < p exist such that p is a base b Wieferich prime. A255207

Sum of distinct terms of A002674: a(0) = 0, a(2n) = A255411(A153880(a(n))), a(2n+1) = 1+A255411(A153880(a(n))). A275959

A variant of the cuban primes: primes p = (x³ - y³)/(x - y) where x = y + 2. A2648

a(n) = 12·n² + 1. A158480

Primes of the form k² + 9. A138353

One third of product plus sum of six consecutive nonnegative numbers. A166943

Primes of the form ∑_k=1..m (m^k mod (m+k)). A156557