Properties of the Number -12786

Twelve Thousand Seven Hundred Eighty-Six

Basics

Value: -12787 → -12786 → -12785

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 2131

Divisors: 1, 2, 3, 6, 2131, 4262, 6393, 12786

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -11000111110010

Octal: -30762

Duodecimal: -7496

Hexadecimal: -31f2

Square: 163481796

Square Root: 113.07519621915321

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

Number of emergent parts in all partitions of n. A182699

Number of integer partitions of n containing all prime indices of their parts. A324753

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

Expansion of c(5x²)/(1-x·c(5x²)), where c(x) is the g.f. of A000108. A128387

G.f.: 5/(2 + 3·sqrt(1-20·x)). A130977

Expansion of (η(q⁴) * η(q¹²) / (η(q) * η(q³)))² in powers of q. A123647

Irregular table read by rows: T(n,k) is the number of k-sided polygons, for n>=1 and k>=3, in a hexagon when straight line segments connect the n-1 points between each corner that divide each edge into n equal parts to the n-1 points on the edge on the opposite side of the hexagon. A367665

Number of (w,x,y,z) with all terms in {1,...,n} and w > harmonic mean of {x,y,z}. A212105

a(1)= 10000, a(2)= 10000; for n>2, a(n)= ( a(n-2) + a(n-1) ) (mod 20000). A96973

a(n) = ∑_k=0..n φ(k² + 1), where φ is the Euler totient function (A000010). A333170