Properties of the Number 23823

Twenty-Three Thousand Eight Hundred Twenty-Three

Basics

Value: 23822 → 23823 → 23824

Parity: odd

Prime: No

Previous Prime: 23819

Next Prime: 23827

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 2647

Divisors: 1, 3, 9, 2647, 7941, 23823

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101110100001111

Octal: 56417

Duodecimal: 11953

Hexadecimal: 5d0f

Square: 567535329

Square Root: 154.34701163287872

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

Square array A(n,k) by antidiagonals. A(n,k) is the number of length 2n k-ary words (n,k>=0) that can be built by repeatedly inserting doublets into the initially empty word. A183135

Number of walks of length 2n on the 3-regular tree beginning and ending at some fixed vertex. A89022

Number of partitions p of n such that (number of numbers in p of form 3k) < (number of numbers in p of form 3k+1). A241743

G.f. A(x) satisfies A(x) = 1 + x·A(x)⁸ / (1 - x). A349335

Number of parts in all compositions of n into distinct parts. A97910

Expansion of c(2·x²)/(1-x·c(2·x²)), where c(x) = (1-sqrt(1-4·x))/(2·x) is the g.f. of the Catalan numbers (A000108). A126087

a(0)=2, a(n) = n²+a(n-1). A153056

a(n) = A056520(n)+1 for n>0, a(0)=1. A179904

Starts of runs of 3 consecutive numbers that have an equal number of even and odd exponents in their prime factorization (A187039). A348077

Starts of runs of 3 consecutive numbers that have an equal number of unitary and nonunitary prime divisors (A348097). A348099