Properties of the Number -2824

Eight Hundred Twenty-Four

Basics

Value: -2825 → -2824 → -2823

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 353

Divisors: 1, 2, 4, 8, 353, 706, 1412, 2824

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -101100001000

Octal: -5410

Duodecimal: -1774

Hexadecimal: -b08

Square: 7974976

Square Root: 53.14132102234569

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) = coefficient of xⁿ*yⁿ in ∏_n>=1 (1 - (xⁿ + yⁿ)). A322213

Expansion of ∑_k>=1 x^k/(1 + x^k)⁴. A320901

Negative integers n such that in balanced ternary representation the number of occurrences of each trit doubles when n is squared. A257868

Expansion of ∏_k>=1 1 / (1 + x^k - x^2·k). A276527

First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 185", based on the 5-celled von Neumann neighborhood. A270637

Number of commuting functions: the number of ordered pairs (f,g) of functions from {1..n} to itself such that fg=gf (i.e., f(g(i))=g(f(i)) for all i). A181162

Numbers k such that k⁴ can be written as a sum of four positive 4th powers. A3294

Number of compositions of n with strictly decreasing differences. A325548

Triangular array T read by rows (9-diamondization of Pascal's triangle). Step 1: t(n,k) = sum of 9 entries in diamond-shaped subarray of Pascal's triangle having vertices C(n,k), C(n+4,k+2), C(n+2,k), C(n+2,k+2). Step 2: T(n,k) = t(n,k) - t(0,0) + 1. A26907

Non-palindromic balanced numbers (in base 10). A256075