Properties of the Number 31307

Thirty-One Thousand Three Hundred Seven

Basics

Value: 31306 → 31307 → 31308

Parity: odd

Prime: Yes

Previous Prime: 31277

Next Prime: 31319

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 31307

Divisors: 1, 31307

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101001001011

Octal: 75113

Duodecimal: 1614B

Hexadecimal: 7a4b

Square: 980128249

Square Root: 176.93784219324027

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

a(n) = T(2n,n), T given by A026725. A26726

Numbers n such that p(8n) is prime, where p(n) is the number of partitions of n. A114168

T(n,k)=Petersen graph (3,1) coloring a rectangular array: number of nXk 0..5 arrays where 0..5 label nodes of a graph with edges 0,1 0,3 3,5 3,4 1,2 1,4 4,5 2,0 2,5 and every array movement to a horizontal, diagonal or antidiagonal neighbor moves along an edge of this graph, with the array starting at 0. A223504

Riordan array (1/(1-x·C(x)³), x·C(x)), C(x) the g.f. of A000108. A236830

Numbers k that divide the sum of digits of 13^k. A175525

T(n,k)=Number of 0..2 colorings of an nx(k+1) array circular in the k+1 direction with new values 0..2 introduced in row major order. A214101

Number of 2 X n matrices containing a 1 in the top left entry, all entries are integer values and adjacent entries differ by at most 1. A138977

Sum of composite numbers between prime p and nextprime(p) is palindromic. A54266

Expansion of 1/(1-x-x³*c(x³)), c(x) the g.f. of A000108. A165407

Sum of composite numbers between prime p and nextprime(p) is palindromic with restriction 'p + 1 <> sum'. A54267