Properties of the Number 12382

Twelve Thousand Three Hundred Eighty-Two

Basics

Value: 12381 → 12382 → 12383

Parity: even

Prime: No

Previous Prime: 12379

Next Prime: 12391

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 41 × 151

Divisors: 1, 2, 41, 82, 151, 302, 6191, 12382

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000001011110

Octal: 30136

Duodecimal: 71BA

Hexadecimal: 305e

Square: 153313924

Square Root: 111.27443551867607

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

Numbers k such that Bernoulli number B_k has denominator 498. A282773

Maximal number of pieces obtained by slicing a torus (or a bagel) with n cuts: (n³ + 3·n² + 8·n)/6 (n > 0). A3600

Number of partitions of n having no doubletons. By a doubleton in a partition we mean an occurrence of a part exactly twice (the partition [4,(3,3),2,2,2,(1,1)] of 18 has two doubletons, shown between parentheses). A116645

a(n) = ∑_k=1..n φ(k)². A57434

G.f.: A(x) = exp( ∑_n>=1 σ(n³)*xⁿ/n ), a power series in·with integer coefficients. A156304

a(n) = n * ∑_d∣n binomial(d+2,3)/d. A343544

Number of n-node rooted identity trees of height at most 7. A38086

Triangle read by rows: T(n,k) is the number of connected directed multigraphs with loops and no vertex of degree 0, with n arcs and k vertices. A139621

a(n) = n*(15·n-11)/2. A226489

Coefficient of x³ in the minimal polynomial of the continued fraction [1ⁿ,sqrt(2),1,1,...], where 1ⁿ means n ones. A266713