Properties of the Number 10906

Ten Thousand Nine Hundred Six

Basics

Value: 10905 → 10906 → 10907

Parity: even

Prime: No

Previous Prime: 10903

Next Prime: 10909

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 7 × 19 × 41

Divisors: 1, 2, 7, 14, 19, 38, 41, 82, 133, 266

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101010011010

Octal: 25232

Duodecimal: 638A

Hexadecimal: 2a9a

Square: 118940836

Square Root: 104.43179592442141

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

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with each row nonprime and column prime, read as a binary number with top and left being the most significant bits. A261942

Number of distinct edges among all circles that can be constructed on vertices of an n-sided regular polygon, using only a compass. A359047

a(n) = p(n)*p(n+2) - 3·p(n+1), where p(n) is the n-th prime. A152528

T(n,k)=Number of nXk 0,1 arrays indicating 2X2 subblocks of some larger (n+1)X(k+1) binary array having a sum of three or less, with rows and columns of the latter in lexicographically nondecreasing order. A227269

a(1) = 0, a(2) = 1; and for n > 2, a(n) = 2·a(A285712(n)) + [1 == (n mod 3)]. A292591

Numbers k such that A003415(k) == A276085(k) (mod 5⁵), where A003415 is the arithmetic derivative and A276085 is the primorial base log-function. A391865

a(n) = n*(13·n - 1)/2. A22270

Structured heptagonal diamond numbers (vertex structure 5). A100179

a(n) = 343·n - 70. A157374

G.f.: ∑_k>=0 x^k*(k+1) / ∏_j=1..k (1 - x^2·j-1)². A376622