Properties of the Number 3838

Three Thousand Eight Hundred Thirty-Eight

Basics

Value: 3837 → 3838 → 3839

Parity: even

Prime: No

Previous Prime: 3833

Next Prime: 3847

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 19 × 101

Divisors: 1, 2, 19, 38, 101, 202, 1919, 3838

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111011111110

Octal: 7376

Duodecimal: 227A

Hexadecimal: efe

Square: 14730244

Square Root: 61.95159400693416

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

Doublets: base-10 representation is the juxtaposition of two identical strings. A20338

a(1) = 0; and for n > 1, a(n) = A033879(A156552(n)). A323244

Numbers that are the sum of 9 positive 6th powers. A3365

Eight bishops and one elephant on a 3 X 3 chessboard. G.f.: (1+x-5·x²)/(1-3·x-x²+6·x³). A175655

Triangle read by rows: T(n,k) is the number of k-block partitions of an n-set up to rotations and reflections. A152176

Shifts left two terms under the binomial transform. A995

Number of subsets of {1..n} without a subset summing to n. A365377

T(n,k)=Number of nXk 0..1 arrays with no element equal to more than two of its horizontal, diagonal or antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A281400

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no element equal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order. A231419

Expansion of (1-x-x^N)/((1-x)(1-x²)(1-x³)...(1-x^N)) for N = 6. A60025