Properties of the Number 31630

Thirty-One Thousand Six Hundred Thirty

Basics

Value: 31629 → 31630 → 31631

Parity: even

Prime: No

Previous Prime: 31627

Next Prime: 31643

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 × 5 × 3163

Divisors: 1, 2, 5, 10, 3163, 6326, 15815, 31630

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111101110001110

Octal: 75616

Duodecimal: 1637A

Hexadecimal: 7b8e

Square: 1000456900

Square Root: 177.8482499211055

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

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock diagonal minus antidiagonal sum nondecreasing horizontally and vertically. A253456

Number of nondecreasing sequences of n 1..7 integers with every element dividing the sequence sum. A212535

Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 3 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 3 6 or 7. A252525

Number of (n+1) X (2+1) 0..2 arrays with every 2 X 2 subblock diagonal minus antidiagonal sum nondecreasing horizontally and vertically. A253450

Number of (n+1) X (6+1) 0..2 arrays with every 2 X 2 subblock diagonal minus antidiagonal sum nondecreasing horizontally and vertically. A253454

Number of n X 5 0..1 arrays with every element unequal to 0, 1, 3, 6 or 8 king-move adjacent elements, with upper left element zero. A305479

A triangular sequence of coefficients of the expansion of a Green's function for the radial Morse potential with·being the kinetic energy and t being the radius: Hamiltonian; H=K+V=x+Exp[-2·t]-2·Exp[t];G·Exp[t·x)=Exp[x·t]/(t-H); p(t,x)=Exp[t·x]/(t-x-Exp[-2·t] + 2·Exp[-t]). A138160

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 3, 6 or 8 king-move adjacent elements, with upper left element zero. A305482

Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 42. A31630