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Properties of the Number 10686

Ten Thousand Six Hundred Eighty-Six

Basics

Value: 10685 → 10686 → 10687

Parity: even

Prime: No

Previous Prime: 10667

Next Prime: 10687

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 13 × 137

Divisors: 1, 2, 3, 6, 13, 26, 39, 78, 137, 274

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10100110111110

Octal: 24676

Duodecimal: 6226

Hexadecimal: 29be

Square: 114190596

Square Root: 103.37311062360463

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

Partial sums of A097988 (d3(n)2). A330570
Record (maximal) gaps between prime triples (p, p+4, p+6). A201596
T(n,k)=Number of nXk 0..3 arrays avoiding the patterns z z+1 z or z z-1 z in any row, column, diagonal or antidiagonal. A207283
T(n,k)=Number of nXk 0..3 arrays avoiding the patterns z z+1 z or z z-1 z in any row, column or nw-se diagonal. A207479
T(n,k)=Number of nXk 0..3 arrays avoiding the patterns z z+1 z or z z-1 z in any row or column. A207535
A Wallis pair (x,y) satisfies σ(x2) = σ(y2); sequence gives x's for indecomposable Wallis pairs with x < y (ordered by values of x). A75768
Number of n X 1 0..3 arrays avoiding the patterns z z+1 z or z z-1 z in any row, column, diagonal or antidiagonal. A207276
Coefficients of series whose 4th power is the θ series of D4 (see A004011). A108092
McKay-Thompson series of class 42a for Monster. A58675
a(n) = 7·n2 + n. A92277