Properties of the Number 8289

Eight Thousand Two Hundred Eighty-Nine

Basics

Value: 8288 → 8289 → 8290

Parity: odd

Prime: No

Previous Prime: 8287

Next Prime: 8291

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 307

Divisors: 1, 3, 9, 27, 307, 921, 2763, 8289

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000001100001

Octal: 20141

Duodecimal: 4969

Hexadecimal: 2061

Square: 68707521

Square Root: 91.04394543296111

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

Sizes of successive clusters in Z⁴ lattice. A46895

a(n) = ∑_k=1..n floor(n/k)*2^k-1. A268235

Numbers that are the sum of five third powers in nine or more ways. A345185

Numbers that are the sum of five third powers in ten or more ways. A345187

a(n) = 6·n² - 10·n + 5. A136392

Numbers that are the sum of five third powers in exactly ten ways. A345188

Expansion of ∏_k>=0 (1-x^4·k+3)^4·k+3. A285213

Numbers k such that gcd(k, reverse(k)) = 27 = 3³, where reverse(x) = A004086(x). A72016

Number of positive integers <= 10ⁿ that are divisible by no prime exceeding 13. A106629

Triangle T, read by rows, equal to the matrix cube of triangle A113095, which satisfies the recurrence: A113095(n,k) = [A113095⁴](n-1,k-1) + [A113095⁴](n-1,k). A113099