Properties of the Number 10955

Ten Thousand Nine Hundred Fifty-Five

Basics

Value: 10954 → 10955 → 10956

Parity: odd

Prime: No

Previous Prime: 10949

Next Prime: 10957

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 5 × 7 × 313

Divisors: 1, 5, 7, 35, 313, 1565, 2191, 10955

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101011001011

Octal: 25313

Duodecimal: 640B

Hexadecimal: 2acb

Square: 120012025

Square Root: 104.66613587975817

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

Partial sums of A299274. A299275

Base-2 expansion of a(n) encodes the steps where numbers of the form 6k+5 are encountered when map x -> A252463(x) is iterated down to 1, starting from x=n. A292945

"Ceiling of hypotenuses": a(n) = ceiling(sqrt(a(n-1)² + a(n-2)²)), a(1)=1, a(2)=3. A104805

a(1) = 0; and for n > 1, a(n) = 2·a(A285712(n)) + [0 == (n mod 3)]. A292590

a(n) = n*(9·n-2). A13656

Triangle T(n, k, q) = binomial(n, k) + qⁿ*binomial(n-2, k-1) - 1 with T(n, 0) = T(n, n) = 1 and q = 3, read by rows. A173047

Triangle of coefficients of polynomials u(n,x) jointly generated with A210867; see the Formula section. A210866

Number of 2 X 2 matrices having all elements in {0,1,...,n} and determinant = 1 (mod 3). A211034

A213784/12. A213789

Expansion of g.f. A(x) satisfying A(x)² = A( x² + 2*(1+x)*A(x)³ ). A374566