Properties of the Number 63824

Sixty-Three Thousand Eight Hundred Twenty-Four

Basics

Value: 63823 → 63824 → 63825

Parity: even

Prime: No

Previous Prime: 63823

Next Prime: 63839

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ⁴ × 3989

Divisors: 1, 2, 4, 8, 16, 3989, 7978, 15956, 31912, 63824

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111100101010000

Octal: 174520

Duodecimal: 30B28

Hexadecimal: f950

Square: 4073502976

Square Root: 252.63412279421004

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 compositions (ordered partitions) of n into distinct parts, the least being 3. A339164

Number of groups of order prime(n)⁶. A232106

G.f.: ∑_n>=0 (x^2·n-1 + 1)ⁿ * xⁿ / (1 + x^2·n+1)ⁿ⁺¹, an even function. A326602

a(n) = 3·p²+39·p+344+24·gcd(p-1,3)+11·gcd(p-1,4)+2·gcd(p-1,5), where p = prime(n). A269749

The largest positive number that can be added to n the maximum number of times, see A343921(n), such that the digits in each resulting sum are distinct, or -1 if no such number exists. A343922

Numbers k such that σ(φ(k³)) = φ(σ(k³)). A63824