Properties of the Number -3056

Fifty-Six

Basics

Value: -3057 → -3056 → -3055

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ⁴ × 191

Divisors: 1, 2, 4, 8, 16, 191, 382, 764, 1528, 3056

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -101111110000

Octal: -5760

Duodecimal: -1928

Hexadecimal: -bf0

Square: 9339136

Square Root: 55.281099844341014

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 theta₃(q) / theta₃(q²) in powers of q. A80015

Table of the numerators of the fractions of Bernoulli twin numbers and their higher-order differences, read by antidiagonals. A168516

Expansion of φ(-q) / φ(q²) in powers of q where φ() is a Ramanujan θ function. A210030

Expansion of φ(q²) / φ(q) in powers of q where φ() is a Ramanujan θ function. A210065

Array read by antidiagonals: numerators of the core of the classical Bernoulli numbers. A240581

G.f. A(x) satisfies: 1/(1 - x) = A(x)*A(x²)²*A(x³)³*A(x⁴)⁴* ... *A(x^k)^k* ... A307648

Let f(x) = 1 + x² + x⁴ + x⁵ + x⁶ + x¹⁰ + x¹¹; sequence has g.f. g(x) = 1/(x¹¹*f(1/x)). A157876

G.f.: ∏_{n >= 0} (1+x²ⁿ⁺¹)/(1-x²ⁿ⁺¹). A80054

Triangle read by rows: T(n,k) is the number of k-block partitions of an n-set up to rotations and reflections. A152176

Number of partitions p of n into distinct parts not including the number of parts. A240861