Properties of the Number 31707

Thirty-One Thousand Seven Hundred Seven

Basics

Value: 31706 → 31707 → 31708

Parity: odd

Prime: No

Previous Prime: 31699

Next Prime: 31721

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 13 × 271

Divisors: 1, 3, 9, 13, 39, 117, 271, 813, 2439, 3523

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101111011011

Octal: 75733

Duodecimal: 16423

Hexadecimal: 7bdb

Square: 1005333849

Square Root: 178.06459502102038

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..1 arrays with no 2X2 subblock having x11-x00 less than x10-x01. A251268

T(n,k)=Number of (n+1)X(k+1) binary arrays with no 2X2 subblock containing fewer than two 1s. A184207

Expansion of (1-2·x)/(1 - 3·x - x² + 2·x³). A52550

T(n,k)=Unmatched value maps: number of nXk binary arrays indicating the locations of corresponding elements not equal to any king-move neighbor in a random 0..2 nXk array. A218823

a(n) = periodic part of decimal expansion of n/n-th prime (leading 0's moved to end). A60251

Number of (n+1)X9 binary arrays with no 2X2 subblock containing fewer than two 1s. A184206

a(n) = ∑_k=0..2n-1 T(n,k)*T(n,k+1), T given by A027926. A27995

Ulam numbers k such that k/3 is also an Ulam number. A287212

Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 29. A31707

Length of the preperiodic part of 'Roll and Subtract' trajectory of n. A343383