Properties of the Number 20723

Twenty Thousand Seven Hundred Twenty-Three

Basics

Value: 20722 → 20723 → 20724

Parity: odd

Prime: No

Previous Prime: 20719

Next Prime: 20731

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 17 × 23 × 53

Divisors: 1, 17, 23, 53, 391, 901, 1219, 20723

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101000011110011

Octal: 50363

Duodecimal: BBAB

Hexadecimal: 50f3

Square: 429442729

Square Root: 143.9548540341728

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

Number of partitions p of n such that (number of distinct parts of p) <= max(p) - min(p). A239955

a(n) = n⁴ - n - 1. A126423

Numbers of the form HMMSS with primes H < 24 and MM, SS < 60, for which the number of seconds after midnight, 3600·H+60·MM+SS, is also prime. A295011

a(n) = (n-4)*(n+1)*(n+3)/6. A275874

Number of maximal matchings in the n-prism graph. A284703

For n>0, a(n) is the least quasi-Carmichael number to base n; a(0) = least composite squarefree integer. A29590

a(n) = ∑_k=1..n k^floor(n/k). A345100

Numerators of continued fraction convergents to sqrt(926). A42790

Least k such that the sum of the semiprime divisors equals n times the sum of the prime divisors, or 0 if no such k exists. A227419

Coefficient of xⁿ in the expansion of 1 / ( (1-x) * (1-x-x²)² )ⁿ. A372458