Properties of the Number -122608

One Hundred Twenty-Two Thousand Six Hundred Eight

Basics

Value: -122609 → -122608 → -122607

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ⁴ × 79 × 97

Divisors: 1, 2, 4, 8, 16, 79, 97, 158, 194, 316

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -11101111011110000

Octal: -357360

Duodecimal: -5AB54

Hexadecimal: -1def0

Square: 15032721664

Square Root: 350.15425172343686

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)=Petersen graph (8,2) coloring a rectangular array: number of nXk 0..15 arrays where 0..15 label nodes of a graph with edges 0,1 0,8 8,14 8,10 1,2 1,9 9,15 9,11 2,3 2,10 10,12 3,4 3,11 11,13 4,5 4,12 12,14 5,6 5,13 13,15 6,7 6,14 7,0 7,15 and every array movement to a horizontal, diagonal or antidiagonal neighbor moves along an edge of this graph. A223599

O.g.f. A(x) satisfies: [xⁿ] exp( n*(n+3) * x ) / A(x) = 0 for n>0. A304864

Numbers k such that 5·2^k - 7 is prime. A59749

Petersen graph (8,2) coloring a rectangular array: number of nX4 0..15 arrays where 0..15 label nodes of a graph with edges 0,1 0,8 8,14 8,10 1,2 1,9 9,15 9,11 2,3 2,10 10,12 3,4 3,11 11,13 4,5 4,12 12,14 5,6 5,13 13,15 6,7 6,14 7,0 7,15 and every array movement to a horizontal, diagonal or antidiagonal neighbor moves along an edge of this graph. A223595

Petersen graph (8,2) coloring a rectangular array: number of 3Xn 0..15 arrays where 0..15 label nodes of a graph with edges 0,1 0,8 8,14 8,10 1,2 1,9 9,15 9,11 2,3 2,10 10,12 3,4 3,11 11,13 4,5 4,12 12,14 5,6 5,13 13,15 6,7 6,14 7,0 7,15 and every array movement to a horizontal, diagonal or antidiagonal neighbor moves along an edge of this graph. A223601

Number of 4 X n 0..1 arrays with rows nondecreasing and antidiagonals unimodal. A224135

Expansion of (1 + x) * ∏_k>=1 1/(1 - x^k)^k. A309267