Properties of the Number 31689

Thirty-One Thousand Six Hundred Eighty-Nine

Basics

Value: 31688 → 31689 → 31690

Parity: odd

Prime: No

Previous Prime: 31687

Next Prime: 31699

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 7 × 503

Divisors: 1, 3, 7, 9, 21, 63, 503, 1509, 3521, 4527

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 111101111001001

Octal: 75711

Duodecimal: 16409

Hexadecimal: 7bc9

Square: 1004192721

Square Root: 178.01404438976155

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 X k 0..1 arrays with the number of 1's horizontally or antidiagonally adjacent to some 0 two less than the number of 0's adjacent to some 1. A293087

Number of tilings of a 20 X n rectangle using 2·n copies of the disconnected shape [ooooo_____ooooo]. A322473

Number of (w,x,y,z) with all terms in {1,...,n} and w²<=x·y*z. A212065

Number of n X 3 0..1 arrays with the number of 1's horizontally or antidiagonally adjacent to some 0 two less than the number of 0's adjacent to some 1. A293082

Number of 6 X n 0..1 arrays with the number of 1's horizontally or antidiagonally adjacent to some 0 two less than the number of 0's adjacent to some 1. A293092

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, -1, 0), (-1, -1, 1), (-1, 1, 0), (1, 0, 0)}. A148045

Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 11. A31689