Properties of the Number 13593

Thirteen Thousand Five Hundred Ninety-Three

Basics

Value: 13592 → 13593 → 13594

Parity: odd

Prime: No

Previous Prime: 13591

Next Prime: 13597

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 23 × 197

Divisors: 1, 3, 23, 69, 197, 591, 4531, 13593

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11010100011001

Octal: 32431

Duodecimal: 7A49

Hexadecimal: 3519

Square: 184769649

Square Root: 116.58902178164118

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

Number of partitions p = [x(1), ..., x(k)], where x(1) >= x(2) >= ... >= x(k), of n such that max(x(i) - x(i-1)) < number of distinct parts of p. A241818

Average of three successive primes squared, (prime(n)²+prime(n+1)²+prime(n+2)²)/3, n>=3. A75893

Number of base 21 n-digit numbers with adjacent digits differing by one or less. A126375

Row sums of A154685. A151675

Triangle read by rows, where t(n,1) = 1, t(n,m) = t(n,m-1) + (largest noncomposite {1 or prime} in row {n-1}). A120852

Sequence defined by the recurrence formula a(n+1)=sum(a(p)*a(n-p)+k,p=0..n)+l for n>=1, with here a(0)=1, a(1)=0, k=1 and l=-1. A176759

Number of n X 7 binary arrays without the pattern 0 1 diagonally, vertically or antidiagonally. A188864

Column 3 of array in A284731. A284734

Number of active (ON, black) cells at stage 2ⁿ-1 of the two-dimensional cellular automaton defined by "Rule 422", based on the 5-celled von Neumann neighborhood. A272086

Smallest prime that is the sum of a square and a positive cube in n different ways. A173795