Properties of the Number -3996

Nine Hundred Ninety-Six

Basics

Value: -3997 → -3996 → -3995

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ³ × 37

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -111110011100

Octal: -7634

Duodecimal: -2390

Hexadecimal: -f9c

Square: 15968016

Square Root: 63.21392251711643

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 18C for the Monster group with a(0) = -3. A123676

McKay-Thompson series of class 18C for the Monster group with a(0) = -2. A215412

McKay-Thompson series of class 18C for the Monster group with a(0) = 1. A215413

McKay-Thompson series of class 18C for the Monster group. A58533

Expansion of q^-1 * f(-q³) * φ(-q³) / (φ(-q²) * ψ(-q⁹)) in powers of q where f(), φ(), ψ() are Ramanujan θ functions. A186115

Expansion of φ(q) * φ(q⁹) / φ(q³)² in powers of q where φ() is a Ramanujan θ function. A233673

a(n) = 10ⁿ - n¹². A24126

Expansion of a(q) * b(q)³ in powers of q where a(), b() are cubic AGM θ functions. A215711

Expansion of χ(q³) / χ³(q) in powers of q where χ() is a Ramanujan θ function. A294387

Expansion of b(q³)b(q²)²/(b(q)b(q⁶)²) in powers of q where b(q) is a cubic AGM function. A122831