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Properties of the Number 31706

Thirty-One Thousand Seven Hundred Six

Basics

Value: 31705 → 31706 → 31707

Parity: even

Prime: No

Previous Prime: 31699

Next Prime: 31721

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 83 × 191

Divisors: 1, 2, 83, 166, 191, 382, 15853, 31706

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Representations

Binary: 111101111011010

Octal: 75732

Duodecimal: 16422

Hexadecimal: 7bda

Square: 1005270436

Square Root: 178.06178702910964

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

Irregular triangle read by rows: T(n,k) is the number of binary pattern classes in the (4,n)-rectangular grid with k '1's and (4n-k) '0's: two patterns are in same class if one of them can be obtained by a reflection or 180-degree rotation of the other. A225812
Irregular triangle read by rows: T(n,k) is the number of binary pattern classes in the (5,n)-rectangular grid with k '1's and (5n-k) '0's: two patterns are in same class if one of them can be obtained by a reflection or 180-degree rotation of the other. A228022
McKay-Thompson series of class 19A for Monster. A58549
Triangle read by rows: T(n,k) is number of paths from (0,0) to (3n,0) that stay in the first quadrant (but may touch the horizontal axis), consisting of steps u=(2,1), U=(1,2), or d=(1,-1) and have k hills of the form ud (a hill is either a ud or a Udd starting at the x-axis). A108433
McKay-Thompson series of class 19A for the Monster group with a(0) = 3. A136569
Function A154470 iterated, starting from the initial value 31706. A154471
Number of nX3 0..1 arrays with exactly floor(nX3/2) elements unequal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..1 order. A222451
Number of walks within N2 (the first quadrant of Z2) starting at (0,0), ending on the vertical axis and consisting of n steps taken from {(-1, 0), (-1, 1), (0, -1), (0, 1), (1, 0)}. A151447
T(n,k) = Number of n X k 0..1 arrays with exactly floor(n X k/2) elements unequal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..1 order. A222456
Rewriting function for Wolfram's e[x_][y_] -> x[x[y]] symbolic system transformation, implemented on nihilistic S-expressions (parenthesizations) encoded by A014486. A154470