Properties of the Number -409

Four Hundred Nine

Basics

Value: -410 → -409 → -408

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 409

Divisors: 1, 409

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -110011001

Octal: -631

Duodecimal: -2A1

Hexadecimal: -199

Square: 167281

Square Root: 20.223748416156685

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

Inverse binomial transform of 1, 2, 2, 4, 10, 20, ... = A100088. A137470

Dirichlet inverse of A064664, the inverse permutation of EKG-sequence. A323411

a(1) = 1, a(n) = -5·a(n/3) if n is divisible by 3, otherwise a(n) = n - a(n-1). A305865

Primes or negative values of primes of the form 8·n² - 298·n + 2113 for n >= 0. A217439

Primes or negative values of primes of the form 8·n² - 326·n + 2659 for n >= 0. A217440

Expansion of ψ(x³)³ / (ψ(x)² * ψ(x²)) in powers of·where ψ() is a Ramanujan θ function. A262157

Expansion of ∏_k>=1 1 / (1 + x^k - x^2·k). A276527

G.f. satisfies: A(x) = 1/(1 - x) * ∏_k>0 A(x^2·k) / ∏_k>1 A(x^2·k-1). A321088

Row sums of triangle A118407. A118408

a(n) = 6·n³ - 263·n² + 3469·n - 12841. A218457