Properties of the Number 11053

Eleven Thousand Fifty-Three

Basics

Value: 11052 → 11053 → 11054

Parity: odd

Prime: No

Previous Prime: 11047

Next Prime: 11057

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 7 × 1579

Divisors: 1, 7, 1579, 11053

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101100101101

Octal: 25455

Duodecimal: 6491

Hexadecimal: 2b2d

Square: 122168809

Square Root: 105.13324878457813

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

G.f. satisfies A(x) = (1 + x·A(x)²) * (1 + x²*A(x)⁵). A200719

Triangle T, read by rows, such that column 2k+1 of T equals column k of T² and column 2k of T equals column k of T·R: [T²](n+k,k) = T(n+2k+1,2k+1) and [T·R](n+k,k) = T(n+2k,2k) for n>=0, k>=0, where R = SHIFT_RIGHT(T). A117418

Column 2 of triangle A117418. A117420

Triangle T, read by rows, formed by a column bisection of triangle A117418: column k of T equals column 2·k of A117418. A117425

a(0) = 16, after which, if a(n-1) = ∏_{k >= 1} (p_k)^c_k, then a(n) = (1/2) * (1 + ∏_{k >= 1} (p_k+1)^c_k), where p_k indicates the k-th prime, A000040(k). A246344

Numbers n with property that there is a different number m such that the lunar squares n·n and m·m are the same. A181319

Numbers n such that Q(sqrt(n)) has class number 7. A218039

Record high points in A336957. A337646

Number of compositions (ordered partitions) of n into prime parts such that no two adjacent parts are equal (Carlitz compositions). A301428

Number of integer partitions of n such that no distinct part can be written as a (strictly) positive linear combination of the other distinct parts. A365072