Properties of the Number 10854

Ten Thousand Eight Hundred Fifty-Four

Basics

Value: 10853 → 10854 → 10855

Parity: even

Prime: No

Previous Prime: 10853

Next Prime: 10859

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ⁴ × 67

Divisors: 1, 2, 3, 6, 9, 18, 27, 54, 67, 81

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101001100110

Octal: 25146

Duodecimal: 6346

Hexadecimal: 2a66

Square: 117809316

Square Root: 104.18253212511203

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 1/(1 - x - x⁹ - x¹⁷ + x¹⁸). A175772

T(n,k) = Number of n X k 0..1 arrays with exactly n+k-1 having value 1 and no three 1's forming an isosceles right triangle. A272965

T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 1,4,0,2,3 for x=0,1,2,3,4. A196343

Composite numbers with properties that its digits (which may appear with multiplicity) may not appear in any of its factors (wherein the digits may also appear with multiplicity) and the combined digits of the product and the factors must have at least one of each of the ten digits. A370972

Aliquot sequence starting at 570. A74907

Number of aperiodic tilings of an n X 1 rectangle by tiles of dimension 1 X 1 and 2 X 1. A225202

a(n) = (1 - 2·cos(π/9))ⁿ + (1 + 2·cos(π*2/9))ⁿ + (1 + 2·cos(π*4/9))ⁿ. A62882

Least k such that ∑_i=1..k 1/φ(i) >= n. A74467

Expansion of ∏_{i>=2, j>=2} 1 / (1 - x^i·j)^j. A326830

a(n) is the unique nonnegative integer whose binary expansion is the parity sequence of the Collatz orbit of n, interpreted through a particular conjugacy (see Comments). A389685