Properties of the Number 5289

Five Thousand Two Hundred Eighty-Nine

Basics

Value: 5288 → 5289 → 5290

Parity: odd

Prime: No

Previous Prime: 5281

Next Prime: 5297

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 41 × 43

Divisors: 1, 3, 41, 43, 123, 129, 1763, 5289

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010010101001

Octal: 12251

Duodecimal: 3089

Hexadecimal: 14a9

Square: 27973521

Square Root: 72.72551134230683

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

Denominators a(n) of Pythagorean approximations b(n)/a(n) to sqrt(2). A195500

a(n) = 3·n² + 6·n. A67725

Number of integer partitions of n such that more than one set can be obtained by choosing a different divisor of each part. A370803

Number of strict compositions of n with no three consecutive parts in arithmetic progression. A325849

Sum of the fourth largest parts of the partitions of n into 8 squarefree parts. A326449

For any number n take the polynomial formed by the product of the terms (x-π), where π's are the prime factors of n. Then calculate the area between the minimum and the maximum value of the prime factors. This sequence lists the numbers for which the area is a positive integer. A203612

Expansion of ∏_k>=1 1/((1-x^3·k-1)*(1-x^3·k-2))^k. A262883

T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2 or 4 horizontally or vertically adjacent elements, with upper left element zero. A301669

a(0)=4, a(1)=0, a(2)=0, a(3)=3; thereafter a(n) = a(n-3) + a(n-4). A50443

Values of n such that 9ⁿ ends in n, or expomorphic numbers relative to "base" 9. A306686