Properties of the Number -2197

One Hundred Ninety-Seven

Basics

Value: -2198 → -2197 → -2196

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 13 ³

Divisors: 1, 13, 169, 2197

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -100010010101

Octal: -4225

Duodecimal: -1331

Hexadecimal: -895

Square: 4826809

Square Root: 46.87216658103186

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

Dirichlet g.f.: 1 / ζ(s-3). A334659

a(1) = 1, a(2) = -9; a(n) = -n³ * ∑_{d∣n, d < n} a(d) / d³. A359531

a(n) = 2·a(n-1) - a(n-2) - a(n-4). A131041

Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of max{2i+j-2,2j+i-2} (A204004). A204005

Coefficients in asymptotic expansion of sequence A293236. A293267

Coefficients in the expansion of ([s] + [2s]x + [3s]x² + ...)/([r] + [2r]x + [3r]x² + ...); [ ] = floor, r = sqrt(3), s = r/(1-r). A279630

The cubes: a(n) = n³. A578

1 and the prime powers p^m where m >= 2, thus excluding the primes. A25475

Cubes of primes. A30078

Prime powers p^e where p is a prime and e >= 2 (prime powers without the primes or 1). A246547