Properties of the Number -268

Two Hundred Sixty-Eight

Basics

Value: -269 → -268 → -267

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 67

Divisors: 1, 2, 4, 67, 134, 268

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -100001100

Octal: -414

Duodecimal: -1A4

Hexadecimal: -10c

Square: 71824

Square Root: 16.3707055437449

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 12I for the Monster group. A58487

Expansion of φ(q) / φ(q³) in powers of q where φ() is a Ramanujan θ function. A139137

Partial alternating sums of the sum of unitary divisors function (A034448). A370898

Expansion of (∏_k>0 theta₄(q^k)/theta₃(q^k))^1/2, where theta₃() and theta₄() are the Jacobi θ functions. A320992

Expansion of φ(q³) / φ(q) in powers of q where φ() is a Ramanujan θ function. A132002

G.f. satisfies: A(x) = 1/(1 + x·A(x⁴)) and also the continued fraction: 1 + x·A(x⁵) = [1; 1/x, 1/x⁴, 1/x¹⁶, 1/x⁶⁴, ..., 1/x^{4^(n-1}), ...]. A101914

Expansion of ψ(-q) / f(q³) where ψ(), f() are Ramanujan θ functions. A139136

Triangle read by rows: row n gives coefficients of increasing powers of·in characteristic polynomial of the matrix (-1)ⁿ*M_n, where M_n is the tridiagonal matrix defined in the Comments line. A124037

Riordan array ((1+3·x-sqrt(1+2·x+9·x²))/(2·x),(1+3·x-sqrt(1+2·x+9·x²))/2). A125694

a(n) = -a(n-1) + a(n-2) - F(-n) + 1, a(0) = 1, a(1) = -1, where F() = Fibonacci numbers A000045. A175722