Properties of the Number -8398

Three Hundred Ninety-Eight

Basics

Value: -8399 → -8398 → -8397

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 × 13 × 17 × 19

Divisors: 1, 2, 13, 17, 19, 26, 34, 38, 221, 247

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: -10000011001110

Octal: -20316

Duodecimal: -4A3A

Hexadecimal: -20ce

Square: 70526404

Square Root: 91.64060235506966

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

G.f.: A(x) = (x-x²) o x/(1-x) o (1-sqrt(1-4·x))/2, a composition of functions involving the Catalan function and its inverse. A120009

a(n) = A184879(2·n, n) - A184879(2·n, n+1) where A184879(n, k) = Hypergeometric2F1(-2·k, 2·k-2·n, 1, -1) if 0<=k<=n. A184881

1-gonal pyramidal numbers. A254749

Square table, read by antidiagonals, of coefficients of x^k in the n-th self-composition of the g.f. of A120009, so that: T(n,k) = [x^k] { (x-x²) o x/(1-n·x) o (1-sqrt(1-4·x))/2 } for n>=1, k>=1. A120013

a(n) = ((2n+1) + (2n-1) - 1)!/((2n+1)!*(2n-1)!). A65097

Super ballot numbers: 6(2n)!/(n!(n+2)!). A7054

Triangle T(n,m) = ∑_k=0..m Catalan(n-k)*Catalan(k). A28364

a(n) = n*(n+4)*(n+5)/6. A5586

Number of ordered rooted trees with n nodes, at least half of which are leaves. A358586

a(n) = C_n / 2 if n is even or ( C_n + C_(n-1/2) ) / 2 if n is odd, where C = Catalan numbers (A000108). A7595