Properties of the Number -797

Seven Hundred Ninety-Seven

Basics

Value: -798 → -797 → -796

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 23

Digital Root: 5

Palindrome: Yes

Factorization: 797

Divisors: 1, 797

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1100011101

Octal: -1435

Duodecimal: -565

Hexadecimal: -31d

Square: 635209

Square Root: 28.231188426986208

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

McKay-Thompson series of class 16B for the Monster group. A29839

a(n) = a(n-1) - 2·a(n-2) with a(0) = 2, a(1) = 1. A2249

Triangle read by rows: the n-th row consists of the coefficients in the expansion of ∑_j=0..n A123162(n,j)*x^j*(1 - x)^{n - j}. A123217

Inverse Euler transform of the Moebius function A008683. A320781

McKay-Thompson series of class 16d for the Monster group. A82304

a(n) = -n² + 9·n + 53. A126665

∏_n>=1 (1 + a(n)*xⁿ) = 1 + ∑_n>=1 μ(n)*xⁿ, where μ = A008683. A353926

∏_n>=1 1 / (1 - a(n)*xⁿ) = 1 + ∑_n>=1 μ(n)*xⁿ, where μ = A008683. A353949

L.g.f.: ∑_n>=1 a(n)*xⁿ/n = log( ∑_n>=0 x^2ⁿ-1 ). A162415

∏_n>=1 (1 + xⁿ)^a(n) = 1 + ∑_n>=1 μ(n)*xⁿ, where μ = A008683. A353927