Properties of the Number 2824

Two Thousand Eight Hundred Twenty-Four

Basics

Value: 2823 → 2824 → 2825

Parity: even

Prime: No

Previous Prime: 2819

Next Prime: 2833

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

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

Numbers k with property that average digit of k² is s=7. A164773

a(n)³ is smallest cube containing exactly n 2's. A48367

Positive numbers whose product of digits is 8 times their sum. A62040

a(n) is twice the least possible area enclosed by a convex lattice n-gon. A70911

Consecutive internal states of the linear congruential pseudo-random number generator (106·s + 1283) mod 6075 when started at 1. A384971