Properties of the Number 11083

Eleven Thousand Eighty-Three

Basics

Value: 11082 → 11083 → 11084

Parity: odd

Prime: Yes

Previous Prime: 11071

Next Prime: 11087

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 11083

Divisors: 1, 11083

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101101001011

Octal: 25513

Duodecimal: 64B7

Hexadecimal: 2b4b

Square: 122832889

Square Root: 105.27582818482124

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

Number of integer partitions of n of which every permutation has a consecutive monotone triple, i.e., a triple (..., x, y, z, ...) such that either x <= y <= z or x >= y >= z. A344654

Primes of the form 4·k² + 4·k + 59. A48988

Cyclops primes. A134809

Number of ways to choose a multiset of strict partitions, or odd partitions, of odd numbers, whose weights sum to n. A300300

Reflectable emirps. A7628

Primes p with property that there exists a number d>0 such that numbers p-k·d, k=1...6, are six primes. A216468

Coefficients in the power series A(x) such that: A(x)⁵ = ∑_n=-oo..+oo x^3·n+2 * (1 - x^n-1)ⁿ⁺¹ * A(x)ⁿ. A357165

G.f.: (1 + x⁴ + x⁷ + 2·x⁸ + x⁹ + x¹² + x¹⁶)/∏_i=1..8 (1 - xⁱ). A3405

Primes p such that 6p + 1 and (p-1)/6 are primes. A85957

Lesser of emirp pairs whose digital sums are also emirps (A178091). A178092