Properties of the Number 32823

Thirty-Two Thousand Eight Hundred Twenty-Three

Basics

Value: 32822 → 32823 → 32824

Parity: odd

Prime: No

Previous Prime: 32803

Next Prime: 32831

Digit Sum: 18

Digital Root: 9

Palindrome: Yes

Factorization: 3 ² × 7 × 521

Divisors: 1, 3, 7, 9, 21, 63, 521, 1563, 3647, 4689

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000000000110111

Octal: 100067

Duodecimal: 16BB3

Hexadecimal: 8037

Square: 1077349329

Square Root: 181.171189762611

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

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 1 1 and 1 1 0 vertically. A207564

Palindromes of length greater than 1 in decimal expansion of π (not showing leading 0's). A68046

Final terms of rows of A077529. A77530

Palindromic composite numbers starting with a digit 3. A222726

Number of subsets of {1..n} whose elements have the same number of divisors. A339514

Smallest palindromic number >= 2ⁿ. A333016

Number of nX6 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 1 1 and 1 1 0 vertically. A207562

Number of 5Xn 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 1 1 and 1 1 0 vertically. A207566

a(0) = 4; to obtain a(k), write out the base-(2^k) expansion of a(k-1), bump to base 2^k+1, then subtract 1. A372237

First location of palindrome a(n) in decimal expansion of π is palindromic. A38101