Properties of the Number -306

Three Hundred Six

Basics

Value: -307 → -306 → -305

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 17

Divisors: 1, 2, 3, 6, 9, 17, 18, 34, 51, 102

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: -100110010

Octal: -462

Duodecimal: -216

Hexadecimal: -132

Square: 93636

Square Root: 17.4928556845359

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 ∏_k>0 1/theta₃(q^k), where theta₃() is the Jacobi θ function. A320068

Expansion of (1-x-x^N)/((1-x)(1-x²)(1-x³)...(1-x^N)) for N = 5. A60024

Matrix inverse of triangle A104505, which is the right-hand side of triangle A084610 of coefficients in (1 + x - x²)ⁿ. A104509

Determinant of rank n matrix of 1..n² filled successively along antidiagonals. A69480

McKay-Thompson series of class 16d for the Monster group. A82304

a(n) = A173557(n) * A345001(n). A345049

Expansion of χ(-q) * χ(-q¹⁵) / (χ(-q⁶) * χ(-q¹⁰)) in powers of q where χ() is a Ramanujan θ function. A132968

a(n) = Fibonacci(n)*A109041(n) for n>=1, with a(0)=1, where A109041 lists the coefficients in η(q)⁹/η(q³)³. A205973

a(n) is the smallest error in trying to solve n⁴ = x⁴ + y⁴. That is, for each n from 2 on, find positive integers·and y, x <= y < n such that |n⁴ - x⁴ - y⁴| is minimal and let a(n) = n⁴ - x⁴ - y⁴. A308834

a(2·n) = A000217(n), a(2·n+1) = -2·A000217(n). A131259