Properties of the Number 31942

Thirty-One Thousand Nine Hundred Forty-Two

Basics

Value: 31941 → 31942 → 31943

Parity: even

Prime: No

Previous Prime: 31907

Next Prime: 31957

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 15971

Divisors: 1, 2, 15971, 31942

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111110011000110

Octal: 76306

Duodecimal: 1659A

Hexadecimal: 7cc6

Square: 1020291364

Square Root: 178.72324974664042

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..3 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) nondecreasing in column and row directions, respectively. A203741

Records in A333549. A333550

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) - b(n-2) - 1, where a(0) = 1, a(1) = 3, b(0) = 2, b(1) = 4. A294424

Number of (n+1)X6 0..3 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) nondecreasing in column and row directions, respectively. A203738

a(n) = T(2n,n), T given by A026648. A26649

a(n) = T(n,[ n/2 ]), T given by A026648. A26654

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, 1), (0, 0, -1), (0, 1, 1), (1, 0, 1)}. A150504

Number of (n+1)X2 0..3 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) nondecreasing in column and row directions, respectively. A203734

Numbers with no consecutive equal base 4 digits. A31942