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Properties of the Number 5285

Five Thousand Two Hundred Eighty-Five

Basics

Value: 5284 → 5285 → 5286

Parity: odd

Prime: No

Previous Prime: 5281

Next Prime: 5297

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 5 × 7 × 151

Divisors: 1, 5, 7, 35, 151, 755, 1057, 5285

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010010100101

Octal: 12245

Duodecimal: 3085

Hexadecimal: 14a5

Square: 27931225

Square Root: 72.69800547470336

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

Difference between the number of odd parts and the number of even parts in all the partitions of n. A209423
Apply partial sum operator thrice to primes. A14150
Number of factorizations of n! into distinct factors. A157612
T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 2 or 4. A252032
Odd squarefree numbers n such that the cyclotomic polynomial φ(n,x) has height 3. A152941
One half of the sum over all permutations of [n] of the squared difference between the length of the longest increasing subsequence and the length of the longest decreasing subsequence. A321278
Numbers that are the sum of ten fourth powers in six or more ways. A345599
Numbers that are the sum of ten fourth powers in exactly six ways. A345858
Expansion of ∏k>=1 ((1 - x7*(2·k-1)) * (1 - x7·k) / (1 - xk)). A280937
Record numbers of factorizations into distinct factors > 1. A331232