Properties of the Number -363

Three Hundred Sixty-Three

Basics

Value: -364 → -363 → -362

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 12

Digital Root: 3

Palindrome: Yes

Factorization: 3 × 11 ²

Divisors: 1, 3, 11, 33, 121, 363

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -101101011

Octal: -553

Duodecimal: -263

Hexadecimal: -16b

Square: 131769

Square Root: 19.05255888325765

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

Expansion of 1/sqrt(1 - 2·x + 9·x²). A98332

Coefficients of polynomials ( (1 -x +sqrt(x))ⁿ⁺¹ - (1 -x -sqrt(x))ⁿ⁺¹ )/(2·sqrt(x)). A61177

Expansion of ψ(q³) / ψ(q)³ in powers of q where ψ() is a Ramanujan θ function. A132979

Expansion of (ψ(x²) / ψ(x))³ in powers of·where ψ() is a Ramanujan θ function. A187053

Expansion of q^-1 * ψ(-q) / ψ(-q³)³ in powers of q where ψ() is a Ramanujan θ function. A133637

Second differences of A000463; first differences of A188652. A188653

Triangle, read by rows, equal to the right-hand side of the triangle A084610, with row n listing the coefficients of (1+x-x²)ⁿ: T(n,k) = [x^n+k] (1+x-x²)ⁿ, for n>=k>=0. A104505

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of 1/sqrt(1 - 2·x + (1+4·k)*x²). A307860

Coefficients in the power series expansion of A(x) = ∑_n=-oo..+oo n·xⁿ * (1 - xⁿ)^n-2. A356774

a(1) = 1, a(2) = 3; a(n) = n² * ∑_{d∣n, d < n} (-1)^n/d a(d) / d². A361986