Properties of the Number 10689

Ten Thousand Six Hundred Eighty-Nine

Basics

Value: 10688 → 10689 → 10690

Parity: odd

Prime: No

Previous Prime: 10687

Next Prime: 10691

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 7 × 509

Divisors: 1, 3, 7, 21, 509, 1527, 3563, 10689

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10100111000001

Octal: 24701

Duodecimal: 6229

Hexadecimal: 29c1

Square: 114254721

Square Root: 103.38762014864255

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

Interprimes (A024675) which are of the form s·prime, s=21. A75296

Number of 2 X 2 singular integer matrices with elements from {0,...,n}. A59306

T(n,k)=Number of nXk 0..1 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors. A231523

Triangular array read by rows: T(n,k) is the number of partial permutations of {1,2,...,n} that have exactly k cycles, 0<=k<=n. A216294

a(n) = n⁴ + 4·n³ + 12·n² + 24·n + 24. A127878

L.g.f.: -log( ∑_n=-oo..+oo (-p)ⁿ * (p·x)^n² ) = ∑_n>=1 a(n) * xⁿ/n, where p = sqrt(2). A337948

Numbers that match polynomials over {0,1} that have a factor containing 3 as a coefficient; see Comments. A208181

Numbers that match polynomials over {0,1} that have a factor containing -3 as a coefficient; see Comments. A208182

G.f.: exp( ∑_n>=1 3·Jacobsthal(n)⁴ * xⁿ/n ), where Jacobsthal(n) = A001045(n). A211896

Index values for new maxima in A065925. A65926