Properties of the Number 12338

Twelve Thousand Three Hundred Thirty-Eight

Basics

Value: 12337 → 12338 → 12339

Parity: even

Prime: No

Previous Prime: 12329

Next Prime: 12343

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 31 × 199

Divisors: 1, 2, 31, 62, 199, 398, 6169, 12338

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000000110010

Octal: 30062

Duodecimal: 7182

Hexadecimal: 3032

Square: 152226244

Square Root: 111.07655018049489

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

Regular triangle where T(n,k) is the number of unlabeled k-uniform hypergraphs spanning n vertices. A301922

Number of 6-colorable (i.e., chromatic number <= 6) simple graphs on n nodes. A76318

Triangle of coefficients of polynomials v(n,x) jointly generated with A210225; see the Formula section. A210226

Regular triangle where T(n,k) is the number of unlabeled k-uniform connected hypergraphs spanning n vertices. A301924

Denominators of continued fraction convergents to sqrt(311). A41587

Numbers n such that zero is never reached by iterating the mapping k -> abs(reverse(lpd(k))-reverse(gpf(k))). lpd(k) is the largest proper divisor and gpf(k) is the largest prime factor of k. A76425

0 together with numbers k such that 4·R_k - 3 is prime, where R_k = 11...1 is the repunit (A002275) of length k. A99412

G.f. satisfies: A(x) = 1 + x·A(x)³ - 2·x²*A(x)² + x³*A(x). A200030

Number of 2Xn 0..1 arrays with every element equal to 0, 1 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero. A301885

Smallest of 5 consecutive integers divisible respectively by 5 consecutive primes. A72730