Properties of the Number 19323

Nineteen Thousand Three Hundred Twenty-Three

Basics

Value: 19322 → 19323 → 19324

Parity: odd

Prime: No

Previous Prime: 19319

Next Prime: 19333

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 19 × 113

Divisors: 1, 3, 9, 19, 57, 113, 171, 339, 1017, 2147

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100101101111011

Octal: 45573

Duodecimal: B223

Hexadecimal: 4b7b

Square: 373378329

Square Root: 139.00719405843714

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

Expansion of 1/(1 - 3·x*C(x)), where C(x) = (1 - sqrt(1 - 4·x))/(2·x) = g.f. for the Catalan numbers A000108. A7854

p² + 2 where p is a prime. A61725

Square array read by antidiagonals: T(n,k)=(T(n,k-1)*n²-Catalan(k-1)*n)/(n-1) with a(n,0)=1 and a(1,k)=Catalan(k) where Catalan(k)=C(2k,k)/(k+1)=A000108(k). A67347

Numbers n such that (n+j) mod (2+j) = 1 for j from 0 to 6 and (n+7) mod 9 <> 1. A96025

Numerators of continued fraction convergents to sqrt(773). A42490

9 times pentagonal numbers: 9·n*(3·n-1)/2. A152996

Number of partitions of n*(n+1)/2 with at most four parts that can be obtained from grouping (with parentheses) a permutation of the sum 1+2+...+n. A160438

Number of partitions of 3n + 2 into parts >= 3. A182808

The number of disconnected k-regular simple graphs on 2k+4 vertices. A184324

Starts of runs of 3 consecutive integers whose exponent of least prime factor in their prime factorization is even. A365871