Properties of the Number 13819

Thirteen Thousand Eight Hundred Nineteen

Basics

Value: 13818 → 13819 → 13820

Parity: odd

Prime: No

Previous Prime: 13807

Next Prime: 13829

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 13 × 1063

Divisors: 1, 13, 1063, 13819

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010111111011

Octal: 32773

Duodecimal: 7BB7

Hexadecimal: 35fb

Square: 190964761

Square Root: 117.55424279880332

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

a(n) = 27·2ⁿ - 5. A304387

a(n) = n*(20 + 15·n + n²)/6. A101853

Numbers k such that 90·R_k + 7 is prime, where R_k = 11...1 is the repunit (A002275) of length k. A56662

a(n) = 8·n² - 7·n + 1. A125201

Number of n-length words on infinite alphabet {1,2,...} such that the maximal runs of consecutive equal integers have lengths that are at least as great as the integer. A242551

a(n) is the number of regions formed by n-secting the angles of a hexagon. A335733

a(n) = a(n-1) + a(n-2) - floor( a(n-1)/2 ). A173510

Number of (n+1)X(5+1) 0..1 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction. A250653

Numbers n such that f(n), f(n+1) and f(n+2) are prime, f(m)=72·m²+7. A121089

Let P be a one-move "rider" with move set M={(1,2)}; a(n) is the number of non-attacking positions of two indistinguishable pieces P on an n X n board. A222308