Properties of the Number 5005

Five Thousand Five

Basics

Value: 5004 → 5005 → 5006

Parity: odd

Prime: No

Previous Prime: 5003

Next Prime: 5009

Digit Sum: 10

Digital Root: 1

Palindrome: Yes

Factorization: 5 × 7 × 11 × 13

Divisors: 1, 5, 7, 11, 13, 35, 55, 65, 77, 91

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001110001101

Octal: 11615

Duodecimal: 2A91

Hexadecimal: 138d

Square: 25050025

Square Root: 70.74602462329597

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

Numbers k such that (266·10^k + 1)/3 is prime. A269303

Figurate numbers or binomial coefficients C(n,6). A579

Binomial coefficient C(2n+1, n-1). A2054

a(n) = (n⁴ + n)/2 (Row sums of an n X n X n magic cube, when it exists). A27441

Stirling numbers of the first kind: s(n+2, n). A914

Second 10-gonal (or decagonal) numbers: n*(4·n+3). A33954

a(n) = C( C(n,2), n). A116508

Triangle read by rows: T(n, k) = binomial(n+k-1, 2·k-1). A78812

5-dimensional pyramidal numbers: a(n) = n*(n+1)*(n+2)*(n+3)*(2n+3)/5!. A5585

Triangle read by rows: T(n, k) is the number of diagonal dissections of a convex n-gon into k+1 regions. A33282