Properties of the Number 7008

Seven Thousand Eight

Basics

Value: 7007 → 7008 → 7009

Parity: even

Prime: No

Previous Prime: 7001

Next Prime: 7013

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ⁵ × 3 × 73

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101101100000

Octal: 15540

Duodecimal: 4080

Hexadecimal: 1b60

Square: 49112064

Square Root: 83.7137981458254

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) = (1/3)*(n² + 2·n + 3)*(n+1)². A14820

Number of key comparisons to sort all n! permutations of n elements by the optimal quadral-pivot quicksort. A288971

Integer part of Gauss's Arithmetic-Geometric Mean M(1,n³). A127759

Triangle read by rows: T(n,k) is the number of c-nets with n-k inner vertices and k outer vertices, 3 <= n, 2 <= k <= n-1. A285165

Number of rooted planar binary unlabeled trees with n leaves and caterpillar index >= 5. A214204

Numbers that are the sum of five third powers in eight or more ways. A345183

a(1) = 1; for n > 1, a(n) = 4·a(A252463(n)) + (n mod 4). A292384

Numbers that are the sum of five third powers in exactly eight ways. A345184

G.f. satisfies A(x) = 1 + x·A(x) + x⁵*A(x)⁵. A364522

4-untouchable numbers. A284156