Properties of the Number -20384

Twenty Thousand Three Hundred Eighty-Four

Basics

Value: -20385 → -20384 → -20383

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ⁵ × 7 ² × 13

Divisors: 1, 2, 4, 7, 8, 13, 14, 16, 26, 28

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

5184 Try Today's Challenge

Representations

Binary: -100111110100000

Octal: -47640

Duodecimal: -B968

Hexadecimal: -4fa0

Square: 415507456

Square Root: 142.772546380598

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

Convolutory inverse of the factorial sequence. A77607

Matrix inverse of triangle A111536. A111540

G.f.: ∑_n=-oo..+oo x^n² * C(x)^4·n-4, where C(x) = 1 + x·C(x)² is the g.f. of the Catalan numbers (A000108). A356778

Coefficient array for the powers of x² of the square of the even-indexed Chebyshev C polynomials. A220668

a(n) = binomial(n+5,5)*(n+3)/3. A40977

a(n) = n + (n+1)² + (n+2)³. A27620

Triangular matrix T, read by rows, that satisfies: SHIFT_LEFT(column 0 of T^p) = p*(column p+2 of T), or [T^p](m,0) = p·T(p+m,p+2) for all m>=1 and p>=-2. A111536

a(n) = 10^n-8 * (n+1)^n-10 * (4782969·n⁸ + 50309748·n⁷ + 237013938·n⁶ + 655232760·n⁵ + 1166624361·n⁴ + 1374998212·n³ + 1051760172·n² + 479277840·n + 100000000). A251590

Numbers n such that sopf(n) = sopf(n+1) - sopf(n-1), where sopf(x) = sum of the distinct prime factors of x. A76525

Column 1 of triangle A111536. A111537