Properties of the Number 11889

Eleven Thousand Eight Hundred Eighty-Nine

Basics

Value: 11888 → 11889 → 11890

Parity: odd

Prime: No

Previous Prime: 11887

Next Prime: 11897

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 1321

Divisors: 1, 3, 9, 1321, 3963, 11889

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111001110001

Octal: 27161

Duodecimal: 6A69

Hexadecimal: 2e71

Square: 141348321

Square Root: 109.03669107231748

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) = a(n-1) + a(m) for n >= 4, where m = 2·n - 2 - 2^p+1 and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = 1, a(2) = 2, and a(3) = 3. A50051

Number of compositions (ordered partitions) of n into powers of 3. A78932

a(n) = ∑_{1 <= i, j, k <= n} gcd(i,j,k). A344522

Square chains: the number of permutations (reversals not counted as different) of the numbers 1 to n such that the sum of any two consecutive numbers is a square. A71983

A185243(n) is the a(n)-th triangular number. A185257

Starts of runs of 3 consecutive integers that are all terms in A381581. A381583

Satisfies A(x) = f(x) + x·A(x)*f(x)², where f(x) = ∑_k>=0 x^(3ⁿ-1/2) and f(x)² = 2 - f(x²) + 2*∑_n>0 x^A023745(n). Also, A(x) = f(x)*B(x), where B(x) = ∑_k>=0 A087218(k)*x^k. A87219

a(n) = (2·a(n-1)*a(n-3) + a(n-2)²)/a(n-4), with a(1)=..=a(4)=1. A121883

Numbers k such that the continued fraction for sqrt(k) has period 86. A20425

Appearance radii of visible vectors in the medial axis test mask for the Euclidean distance in Z². A171988