Properties of the Number -97200

Ninety-Seven Thousand Two Hundred

Basics

Value: -97201 → -97200 → -97199

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁴ × 3 ⁵ × 5 ²

Divisors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -10111101110110000

Octal: -275660

Duodecimal: -48300

Hexadecimal: -17bb0

Square: 9447840000

Square Root: 311.7691453623979

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

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

Square array T(n, k) = ∏_j=1..n (1 - ChebyshevT(j, k+1)²) with T(n, 0) = n!, read by antidiagonals. A156647

Expansion of e.g.f.: cosh(log(x+1)-arctan(x)). A13255

E.g.f.: x/(1+3x-4x³)=x/[1-T(3,x)], where T(3,x) is a Chebyshev polynomial. A109576

Jordan function J₄(n). A59377

The third of the three sequences associated with the polynomial x³ - 2. A52103

G.f.: ∑_n>=0 (3·n+1)ⁿ * xⁿ / (1 + (3·n+1)*x)ⁿ. A187738

Numbers k such that the square of d(k) (number of divisors) divides k. A46754

Triangle T(n,k) read by rows, where T(n,k) = number of times the permanent of a real nonsingular n X n (0,1)-matrix takes the value k, for n >= 1, 1 <= k <= A000255(n). A89480

a(n+3) = 2a(n+2) - 3a(n+1) + 2a(n); a(0) = 1, a(1) = 1, a(2) = 0. A105578

Triangle T(n,k) read by rows: coefficients of polynomials P_n(t) defined in Formula section. A291843