Properties of the Number 10681

Ten Thousand Six Hundred Eighty-One

Basics

Value: 10680 → 10681 → 10682

Parity: odd

Prime: No

Previous Prime: 10667

Next Prime: 10687

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 11 × 971

Divisors: 1, 11, 971, 10681

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100110111001

Octal: 24671

Duodecimal: 6221

Hexadecimal: 29b9

Square: 114083761

Square Root: 103.34892355511015

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

Expansion of g.f.: (1 + x)/(1 - 10·x + x²). A54320

Numerators of continued fraction convergents to sqrt(3/2). A142238

Semiprimes in A056105. A113519

Expansion of e.g.f.: exp(x + 4·x²). A293720

Ratio-dependent insertion sequence I(0.36704) (see the link below). A85376

Numbers n such that the decimal number concat(2,n) is a square. A273357

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero. A298444

a(n) = (9 + 14·n + 12·n² + 4·n³)/3. A166911

Square array A(n,k), n >= 0, k >= 1, read by antidiagonals, where column k is the expansion of e.g.f. exp(∑_j=1..k j²*x^j). A293724

First number in the n-th row of A172002. A168388