Properties of the Number 31593

Thirty-One Thousand Five Hundred Ninety-Three

Basics

Value: 31592 → 31593 → 31594

Parity: odd

Prime: No

Previous Prime: 31583

Next Prime: 31601

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 10531

Divisors: 1, 3, 10531, 31593

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111101101101001

Octal: 75551

Duodecimal: 16349

Hexadecimal: 7b69

Square: 998117649

Square Root: 177.74419821755083

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 equivalence classes of convex lattice polygons of genus n, restricting the count to those polygons that are interior to another polygon. A322344

Numbers k for which 6k+1, 24k+5, 432k²+72k-1, and 432k²+90k-1 are all prime. A175513

Number of nX4 -1,1 arrays such that the sum over i=1..n,j=1..4 of i·x(i,j) is zero and rows are nondecreasing (ways to put 4 thrusters pointing east or west at each of n positions 1..n distance from the hinge of a south-pointing gate without turning the gate). A225305

T(n,k)=Number of nXk -1,1 arrays such that the sum over i=1..n,j=1..k of i·x(i,j) is zero and rows are nondecreasing (ways to put k thrusters pointing east or west at each of n positions 1..n distance from the hinge of a south-pointing gate without turning the gate). A225310

Number of nX4 0..1 arrays with each 1 adjacent to 3, 4 or 5 king-move neighboring 1s. A296986

Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 95. A31593