Properties of the Number -1608

Six Hundred Eight

Basics

Value: -1609 → -1608 → -1607

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 67

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 67, 134

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -11001001000

Octal: -3110

Duodecimal: -B20

Hexadecimal: -648

Square: 2585664

Square Root: 40.099875311526844

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

a(n) = ∑_k=1..n μ(k)*k³. A336277

Triangle read by rows: T(n,k) is the k-th generalized Eulerian number of order n and degree 3, n >= 1. A211233

G.f. A(x) satisfies: [x^k] A(x) / (1-x)ⁿ = 0 for k = n*(n+1)/2 + 1 through k = (n+1)*(n+2)/2 for n >= 0. A305605

Expansion of f(-x) * f(x², x¹⁰) / f(-x³)² in powers of·where f(, ) is Ramanujan's general θ function. A263051

Expansion of (η(q)η(q¹⁰)/(η(q²)η(q⁵)))⁶ in powers of q. A284629

Average of twin prime pairs. A14574

a(n) = ∑_k=1..n k·floor(n/k); also ∑_k=1..n σ(k) where σ(n) = sum of divisors of n (A000203). A24916

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(0) + b(1) + ... + b(n-1), where a(0) = 1, a(1) = 2, b(0) = 3, and (a(n)) and (b(n)) are increasing complementary sequences. A295053

a(n) = prime(n+1)² - prime(n)². A69482

Numbers that can be expressed as the difference of the squares of primes in just two distinct ways. A90788