Properties of the Number 12842

Twelve Thousand Eight Hundred Forty-Two

Basics

Value: 12841 → 12842 → 12843

Parity: even

Prime: No

Previous Prime: 12841

Next Prime: 12853

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 6421

Divisors: 1, 2, 6421, 12842

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11001000101010

Octal: 31052

Duodecimal: 7522

Hexadecimal: 322a

Square: 164916964

Square Root: 113.3225485064645

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 (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 2 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 2 3 4 6 or 7. A252167

a(n) = floor(1/(ζ(5) - ∑_h=1..n 1/h⁵)). A248234

Sequence arising from analysis of Levine's sequence A011784: essentially a duplicate of A144005. A14623

Number of derangements of [n] having no adjacent 2-cycles, no adjacent 3-cycles, no adjacent 4-cycles and no adjacent 5-cycles. A370324

E.g.f. A(x) satisfies: A(x) = 1 + Series_Reversion( Integral A(-x) dx ). A144005

a(n) = 36·n² - 8·n - 2 (n >=1). A304834

Dodecahedral surface numbers: a(0)=0, a(1)=1, a(2)=20, thereafter 2*((3·n-7)² + 21). A7589

Numbers k such that the continued fraction for sqrt(k) has period 33. A20372

Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 7. A31420

Becomes prime after exactly 7 iterations of f(x) = sum of prime factors of x. A47826