Properties of the Number 19082

Nineteen Thousand Eighty-Two

Basics

Value: 19081 → 19082 → 19083

Parity: even

Prime: No

Previous Prime: 19081

Next Prime: 19087

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 7 × 29 × 47

Divisors: 1, 2, 7, 14, 29, 47, 58, 94, 203, 329

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100101010001010

Octal: 45212

Duodecimal: B062

Hexadecimal: 4a8a

Square: 364122724

Square Root: 138.13761254633005

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) = n*(n+1)*(5·n+1)/6. A33994

a(1) = 1, a(n+1) is the sum of a(n) and ceiling( arithmetic mean of a(1) ... a(n) ). A65095

Array T(n,m) read by antidiagonals: In an n X m grid draw straight walls between cells, starting at a border, such that the resulting figure is connected and has only one-cell wide paths; T(n,m) is the number of solutions. A375858

E.g.f. satisfies log(A(x)) = (exp(x·A(x)) - 1)² * A(x). A357084

Number of partitions of n into exactly 5 different parts with distinct multiplicities. A212116

Numbers with arithmetic derivative which is a palindromic prime number (A002385). A359332

Number of nX6 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 1 1 vertically. A207512

Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite BOG = Boggsite Na4Ca7[Al18Si78O192].74H2O starting with a T2 atom. A19082