Properties of the Number 82824

Eighty-Two Thousand Eight Hundred Twenty-Four

Basics

Value: 82823 → 82824 → 82825

Parity: even

Prime: No

Previous Prime: 82813

Next Prime: 82837

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 7 × 17 × 29

Divisors: 1, 2, 3, 4, 6, 7, 8, 12, 14, 17

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100001110001000

Octal: 241610

Duodecimal: 3BB20

Hexadecimal: 14388

Square: 6859814976

Square Root: 287.7915912600644

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) = 1·2*3·4 - 5·6*7·8 + 9·10·11·12 - 13·14·15·16 + ... - (up to n). A319544

a(n) = 4·3*2·1 - 8·7*6·5 + 12·11·10·9 - 16·15·14·13 + ... - (up to the n-th term). A319887

Partial sums of A034263. A51947

Nonnegative values·of solutions (x, y) to the Diophantine equation x²+(x+119)² = y². A129837

Expansion of 1 / ((1 - x)⁷*(1 + x)⁴). A299336

Numbers whose number of divisors equals the sum of their separate prime-power decompositions. A87004

Numbers n such that P(13·n) is prime, where P(n) is the unrestricted partition number. A113518

Let x(1)x(2)...x(q) the decimal expansion of the numbers k having exactly q distinct prime divisors p(1) < p(2) < ... < p(q). Sequence lists the numbers k such that p(1)/x(q) + p(2)/x(q-1)+ ... + p(q)/x(1) is an integer. A235153

Number of length-4 0..n arrays with no repeated value greater than or equal to the previous repeated value. A269410

First column of A082822. A82824