Properties of the Number -477

Four Hundred Seventy-Seven

Basics

Value: -478 → -477 → -476

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 53

Divisors: 1, 3, 9, 53, 159, 477

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -111011101

Octal: -735

Duodecimal: -339

Hexadecimal: -1dd

Square: 227529

Square Root: 21.840329667841555

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

Polylogarithm li(-n,-1/2) multiplied by (3ⁿ⁺¹)/2. A212846

Expansion of η(q)⁵ * η(q³) * η(q⁶)⁴ / η(q²)⁴ in powers of q. A214262

a(0)=0; thereafter a(n) = a(n-1)+n if the (n-1)st digit of the sequence is even, otherwise a(n) = a(n-1)-n. A309216

Expansion of -x - x³*(2 -2·x⁴ +x⁵)/((1-x²)*(1+x+x⁴)). A89076

Expansion of 1/sqrt(1 - 6·x + 25·x²). A98341

Expansion of 1/sqrt(1 - 6x + 17x²). A98339

Expansion of x*(1 - x)/(1 - x + x²)³. A104555

Expansion of q^-1 * f(-q², -q⁷) * f(-q⁴, -q⁵) / f(-q, -q⁸)² in powers of q where f() is Ramanujan's two-variable θ function. A245421

Expansion of q^-1 * f(-q⁴, -q⁵)² / (f(-q, -q⁸) * f(-q², -q⁷)) in powers of q where f() is Ramanujan's two-variable θ function. A245424

Triangle read by rows. T(n, k) = numerator(Integral_z=0..1 Eulerian(n, k)*z^{k + 1}*(z - 1)^{n - k - 1} dz), where Eulerian(n, k) = A173018(n, k) for n >= 1, and T(0, 0) = 1. A356602