Properties of the Number 7806

Seven Thousand Eight Hundred Six

Basics

Value: 7805 → 7806 → 7807

Parity: even

Prime: No

Previous Prime: 7793

Next Prime: 7817

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 1301

Divisors: 1, 2, 3, 6, 1301, 2602, 3903, 7806

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111001111110

Octal: 17176

Duodecimal: 4626

Hexadecimal: 1e7e

Square: 60933636

Square Root: 88.35157044444654

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) = C(n,1) + C(n,2) + C(n,3), or n*(n² + 5)/6. A4006

Numbers·such that 0 < |x⁷ - y²| < x^5/2 for some number y. A173348

Triangle read by rows: T(n,k) = (4n-4k+1) * T(n-1,k-1) + (4k-3) * T(n-1,k). A142459

Positive integers k such that k²⁰ + 1 is semiprime (A001358). A105282

a(1) = 1; a(n) = max{ 5·a(k) + a(n-k) | 1 <= k <= n/2 } for n > 1. A130667

a(n) = ∑_k=1..n binomial(n,k) * σ(n,k). A205812

a(n) = ∑_{k=0..floor(n/4)} Stirling2(n,4·k). A365525

a(n) = Sum_k k·A333274(n,k). A333276

Number of ways to split an integer partition of n into contiguous subsequences with weakly increasing sums. A336136

Numbers k whose representation can be split in two parts which can be used as seeds for a Fibonacci-like sequence containing k itself. A130792