Properties of the Number 10905

Ten Thousand Nine Hundred Five

Basics

Value: 10904 → 10905 → 10906

Parity: odd

Prime: No

Previous Prime: 10903

Next Prime: 10909

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 727

Divisors: 1, 3, 5, 15, 727, 2181, 3635, 10905

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101010011001

Octal: 25231

Duodecimal: 6389

Hexadecimal: 2a99

Square: 118919025

Square Root: 104.42700800080408

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

Wedderburn-Etherington numbers: unlabeled binary rooted trees (every node has outdegree 0 or 2) with n endpoints (and 2n-1 nodes in all). A1190

Number of totally ramified extensions over Q₃ with degree n in the algebraic closure of Q₃. A100980

27-gonal numbers: a(n) = n*(25·n-23)/2. A255186

Number of n-node rooted unlabeled trees with outdegree <= 2 and exactly 1 edge at the root. A36656

Odd composite integers m such that A052918(m-J(m,29)) == 0 (mod m) and gcd(m,29)=1, where J(m,29) is the Jacobi symbol. A340095

a(n) = ∑_{1 <= i, j, k, l <= n} gcd(i,j,k,l). A344523

Numbers of the form p·q*r where p,q,r are distinct odd palindromic primes (odd terms from A002385). A46405

Number of 2 X 2 matrices having all elements in {0,1,...,n} and determinant in the open interval (-n,n). A211032

Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 361", based on the 5-celled von Neumann neighborhood. A281412

Numbers that appear exactly five times in A101402. (Also indices of fives in A101403.). A129117