Properties of the Number 10808

Ten Thousand Eight Hundred Eight

Basics

Value: 10807 → 10808 → 10809

Parity: even

Prime: No

Previous Prime: 10799

Next Prime: 10831

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ³ × 7 × 193

Divisors: 1, 2, 4, 7, 8, 14, 28, 56, 193, 386

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10101000111000

Octal: 25070

Duodecimal: 6308

Hexadecimal: 2a38

Square: 116812864

Square Root: 103.96153134693621

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

Irregular triangle read by rows: T(n,k) is the number of binary pattern classes in the (8,n)-rectangular grid with k '1's and (8n-k) '0's: two patterns are in the same class if one of them can be obtained by a reflection or 180-degree rotation of the other. A228167

Sum of products of terms in all partitions of n into odd parts. A67553

a(n) = 2·n*(7·n - 3). A316466

Table T(n,k), n>=1, k>=1, read by antidiagonals: T(n,k) = number of equivalence classes of ways of placing five 1 X 1 tiles in an n X k rectangle under all symmetry operations of the rectangle. A248017

Numbers which need ten 'Reverse and Add' steps to reach a palindrome. A65215

Numbers k whose binary expansion contains 2 adjacent 1's and A391571(k) = k. A391581

Numbers k such that the period of the continued fraction for sqrt(3)*k is 2. A64933

a(n+4) = a(n+1) - a(n), a(0) = 1, a(1) = -4, a(2) = 0, a(3) = 1. A110064

a(n) = ∑_k=3..n k·StirlingS2(n+1, k+1). A266696

Antidiagonal sums of table A083362. A83364