Properties of the Number 10809

Ten Thousand Eight Hundred Nine

Basics

Value: 10808 → 10809 → 10810

Parity: odd

Prime: No

Previous Prime: 10799

Next Prime: 10831

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 1201

Divisors: 1, 3, 9, 1201, 3603, 10809

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101000111001

Octal: 25071

Duodecimal: 6309

Hexadecimal: 2a39

Square: 116834481

Square Root: 103.96634070698074

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

Number of partitions of n in which no parts are multiples of 6. A219601

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3 or 4 king-move adjacent elements, with upper left element zero. A297915

a(n) = 104·n + 9977. A126978

Boris Stechkin's function. A55004

First differences of A325056: distance in A076042 from n-th low point to the next. A324792

Expansion of ∑_k>0 (1/(1+x^k)⁴ - 1). A363631

Let Py(n)=A000330(n)=n-th square pyramidal number. Consider all integer triples (i,j,k), j >= k>0, with Py(i)=Py(j)+Py(k), ordered by increasing i; sequence gives i values. A53719

Combined weight, as defined at A244094, of the distinct-parts partitions of n. A234924

Products of two distinct tribonacci numbers > 1. A274433

Numbers n such that the sum of the divisors of n is of the form m²+1. A289290