Properties of the Number 5002

Five Thousand Two

Basics

Value: 5001 → 5002 → 5003

Parity: even

Prime: No

Previous Prime: 4999

Next Prime: 5003

Digit Sum: 7

Digital Root: 7

Palindrome: No

Factorization: 2 × 41 × 61

Divisors: 1, 2, 41, 61, 82, 122, 2501, 5002

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001110001010

Octal: 11612

Duodecimal: 2A8A

Hexadecimal: 138a

Square: 25020004

Square Root: 70.7248188403477

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

Pentagonal numbers multiplied by 2: a(n) = n*(3·n-1). A49450

Coordination sequence for body-centered tetragonal lattice. A8527

Bending a piece of wire of length n+1; walks of length n+1 on a tetrahedron; also non-branched catafusenes with n+2 condensed hexagons. A1998

Numbers n such that the decimal expansions of both n and n² have 0 as smallest digit and 5 as largest digit. A256631

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

Numbers k such that σ(φ(k)) = σ(k) where σ is the sum of divisors function A000203 and φ is the Euler totient function A000010. A33631

Vertically symmetric numbers. A53701

Numbers k such that the coefficient of x^k in the expansion of ∏_j>=1 (1 - x^j)⁵ is zero. A302057

Numbers n such that n²+n+41 (Euler's "prime generating polynomial") is not squarefree. A97823

Triangle read by rows: T(n,k) is the number of partitions of the set {1,2,...,n}, having exactly k blocks consisting only even entries (0<=k<=floor(n/2)). A124422