Properties of the Number -497

Four Hundred Ninety-Seven

Basics

Value: -498 → -497 → -496

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 7 × 71

Divisors: 1, 7, 71, 497

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -111110001

Octal: -761

Duodecimal: -355

Hexadecimal: -1f1

Square: 247009

Square Root: 22.293496809607955

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

G.f.: ∑_n=-oo..+oo n·xⁿ * (1 - xⁿ)ⁿ. A291937

a(n) = ∑_i=0..n-1 K(i,n)*i, where K(,) is Kronecker symbol. A228131

Matrix inverse of triangle A122178, where A122178(n,k) = C( n*(n+1)/2 + n-k - 1, n-k) for n>=k>=0. A121438

Difference between sums of quadratic residues and non-residues modulo n that are coprime to n. A255643

Difference between sums of quadratic residues and non-residues modulo n (residues are not necessarily coprime to n). A255644

a(n+1) = a(n) - a(floor(n/2)), with a(0)=0, a(1)=1. A62187

Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of the symmetric matrix A202875; by antidiagonals. A202877

Expansion of g.f.: 1/∑_{p prime} x^p. A352476

a(n) = -(1/2)*(n+2)*(n² - 6·n - 1). A28494

Numerators of coefficients in function a(x) such that a(a(x)) = log(1+x). A48607