Properties of the Number -544

Five Hundred Forty-Four

Basics

Value: -545 → -544 → -543

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ⁵ × 17

Divisors: 1, 2, 4, 8, 16, 17, 32, 34, 68, 136

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1000100000

Octal: -1040

Duodecimal: -394

Hexadecimal: -220

Square: 295936

Square Root: 23.323807579381203

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

Alternating sum σ(1)-σ(2)+σ(3)-σ(4)+...+((-1)ⁿ⁺¹)*σ(n). A68762

Triangle of coefficients of n!*(1 - x)ⁿ*L_n(x/(1 - x)), where L_n(x) is the Laguerre polynomial. A123202

G.f.: ∑_n>=0 xⁿ * (1 + xⁿ)ⁿ / (1 + xⁿ⁺¹)ⁿ⁺¹. A323557

Expansion of (1-x-x^N)/((1-x)(1-x²)(1-x³)...(1-x^N)) for N = 4. A60023

Expansion of f(-q) / f(q) in powers of q where f() is a Ramanujan θ function. A108494

S(n,k) an additive decomposition of the Springer number (generalized Euler number), (triangle read by rows). A154343

Difference between sums of largest parts of all partitions of n into odd number of parts and into even number of parts. A222049

G.f. A(x) satisfies: A(x)² = 1/AGM(1, 1 - 8·x/A(x)² ). A158122

G.f. A(x) satisfies: A(x)^-4 + A(-x)^-4 = 2 and A(x)⁴ - A(-x)⁴ = 32·x. A196867

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