Properties of the Number 3843

Three Thousand Eight Hundred Forty-Three

Basics

Value: 3842 → 3843 → 3844

Parity: odd

Prime: No

Previous Prime: 3833

Next Prime: 3847

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 7 × 61

Divisors: 1, 3, 7, 9, 21, 61, 63, 183, 427, 549

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111100000011

Octal: 7403

Duodecimal: 2283

Hexadecimal: f03

Square: 14768649

Square Root: 61.99193495931547

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) = 4·n² - 1. A466

Double-bitters: only even length runs in binary expansion. A1196

Generalized 27-gonal (or icosiheptagonal) numbers: m*(25·m - 23)/2 with m = 0, +1, -1, +2, -2, +3, -3, ... A316725

3 times octagonal numbers: a(n) = 3·n*(3·n-2). A152751

Number of partitions of n into parts without powers of 2. A101417

a(n) = (4·n+1)*(4·n+3). A1539

T(n,k)=Hilltop maps: number of nXk binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or antidiagonal neighbor in a random 0..3 nXk array. A218810

A partition product of Stirling₁ type [parameter k = 3] with biggest-part statistic (triangle read by rows). A157393

Numbers n such that uphi(n) = uphi(n+1), where uphi(n) is the unitary totient function (A047994). A287055

Sum of the sixth largest parts of the partitions of n into 10 squarefree parts. A326632