Properties of the Number -824

Eight Hundred Twenty-Four

Basics

Value: -825 → -824 → -823

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ³ × 103

Divisors: 1, 2, 4, 8, 103, 206, 412, 824

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1100111000

Octal: -1470

Duodecimal: -588

Hexadecimal: -338

Square: 678976

Square Root: 28.705400188814647

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

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = n! * ∑_{j=0..floor(n/2)} (-k/2)^j * binomial(n-j,j)/(n-j)!. A362277

Expansion of g.f. A(x,y) satisfying 0 = ∑_n=-oo..+oo xⁿ * A(x,y)ⁿ * (y - x^n-1)ⁿ⁺¹, as a triangle of coefficients T(n,k) of xⁿ*y^k in A(x,y), read by rows n >= 0. A366730

McKay-Thompson series of class 30C for the Monster group with a(0) = -1. A132321

McKay-Thompson series of class 30C for Monster. A58614

a(n) = Hermite(n,2). A144141

Numerators of the inverse binomial transform of a shuffled sequence of "original" Bernoulli and Bernoulli numbers. A176150

Triangle read by rows: T(n,k) is the coefficient A_k in the transformation of 1 + x + x² + ... + xⁿ to the polynomial A_k*(x+3)^k for 0 <= k <= n. A248811

a(n) = H(3·n, n), where H(n,x) is n-th Hermite polynomial. A349067

The 6th Hermite Polynomial evaluated at n: H₆(n) = 64·n⁶-480·n⁴+720·n²-120. A247851

Expansion of e.g.f. exp(x - 5·x²/2). A362279