Properties of the Number -404

Four Hundred Four

Basics

Value: -405 → -404 → -403

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 8

Digital Root: 8

Palindrome: Yes

Factorization: 2 ² × 101

Divisors: 1, 2, 4, 101, 202, 404

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -110010100

Octal: -624

Duodecimal: -298

Hexadecimal: -194

Square: 163216

Square Root: 20.09975124224178

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) = 1 + 3·n - 2·n². A168244

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

Expansion of theta₄/theta₃ in powers of q. A189925

Expansion of (φ(-q) / φ(q²))² in powers of q where φ() is a Ramanujan θ function. A210067

Choose smallest m>0 such that the n-th rational prime p ramifies in the imaginary quadratic extension field K = Q(sqrt(-m)); a(n) = discriminant(K). A220861

Triangle read by rows giving coefficients in Bernoulli polynomials as defined in A001898, after multiplication by the common denominators A001898(n). A100655

Expansion of q^-2/5 * (r(q²) - r(q)²) / 2 in powers of q where r() is the Rogers-Ramanujan continued fraction. A285554

a(n) = [xⁿ] ∏_k=1..n (1 - (n - k + 1)*x^k). A303189

Expansion of ∏_k>0 (-1+sqrt(1+4·x^k))/(2·x^k). A327682

Expansion of ∏_k>=1 (1 - p(k)*x^k), where p(k) = number of partitions of k (A000041). A304785