Properties of the Number 5084

Five Thousand Eighty-Four

Basics

Value: 5083 → 5084 → 5085

Parity: even

Prime: No

Previous Prime: 5081

Next Prime: 5087

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 31 × 41

Divisors: 1, 2, 4, 31, 41, 62, 82, 124, 164, 1271

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001111011100

Octal: 11734

Duodecimal: 2B38

Hexadecimal: 13dc

Square: 25847056

Square Root: 71.30217387990355

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 partitions of n into an odd number of parts. A27193

Number of integer partitions of n with reverse-alternating sum >= 0. A344607

Coordination sequence for hexagonal close-packing. A7899

The number of odd partitions of consecutive odd integers. A160786

Number of cycle types of conjugacy classes of all even permutations of n elements. A46682

Twice second pentagonal numbers. A49451

Number of strict integer partitions of n whose length (number of parts) can be written as a nonnegative linear combination of the parts. A367220

Expansion of 1/(1 - x³ - x⁴ + x⁷ - x¹⁰ - x¹¹ + x¹⁴) (a Salem polynomial). A143644

Numbers n such that the decimal expansions of both n and n² have 0 as smallest digit and 8 as largest digit. A256708

T(n,k)=Number of length n+5 0..k arrays with every six consecutive terms having the maximum of some two terms equal to the minimum of the remaining four terms. A250081