Properties of the Number 11268

Eleven Thousand Two Hundred Sixty-Eight

Basics

Value: 11267 → 11268 → 11269

Parity: even

Prime: No

Previous Prime: 11261

Next Prime: 11273

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 313

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 36, 313

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10110000000100

Octal: 26004

Duodecimal: 6630

Hexadecimal: 2c04

Square: 126967824

Square Root: 106.15083607772479

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

Triangle read by rows: T(n,k) = number of edges in a "frame" of size n X k (see Comments in A331457 for definition). A332600

Triangle read by rows, giving coefficients of the ménage hit polynomials ordered by descending powers. T(n, k) for 0 <= k <= n. A58087

Expansion of x/((1-x-x³)*(1-x)⁴). A144898

a(n) = ∑_{x₁∣n, x₂∣n, x₃∣n, x₄∣n, x₅∣n} gcd(x₁,x₂,x₃,x₄,x₅). A344139

Irregular table read by rows: Take a Reuleaux triangle with all diagonals drawn, as in A340639. Then T(n,k) = number of k-sided polygons in that figure for k >= 3. A340614

Triangle read by rows: T(n,k) = number of ways of seating n couples around a circular table so that exactly k married couples are adjacent (0 <= k <= n). A94314

Coefficients of ménage hit polynomials. A185

Conjectured positive numbers which have more than one representation (m,s) as a difference s² - m⁵, m >= 1, s > 0. A177770

Triangle read by rows: T(n,k) is the number of noncrossing caterpillars with n edges and diameter k, 0 <= k <= n. A361357

McKay-Thompson series of class 38a for Monster. A58658