Properties of the Number 3873

Three Thousand Eight Hundred Seventy-Three

Basics

Value: 3872 → 3873 → 3874

Parity: odd

Prime: No

Previous Prime: 3863

Next Prime: 3877

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 1291

Divisors: 1, 3, 1291, 3873

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111100100001

Octal: 7441

Duodecimal: 22A9

Hexadecimal: f21

Square: 15000129

Square Root: 62.23343153000644

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) = 2·n² + 1. A58331

Consider the base-4 Kaprekar map n->K(n) defined in A165012. Sequence gives numbers belonging to cycles, including fixed points. A165017

a(n) = (-n³ + 9n² - 5n + 3)/3. A161702

List of fixed points of the base-4 Kaprekar map A165012. A165016

Third row of Pascal-(1,3,1) array A081578. A81585

Smallest member of cycle corresponding to n-th term of A165029. A165030

T(n,k) is the number of n X k 0..1 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A279977

Consider the base-4 Kaprekar map n->K(n) defined in A165012. Sequence gives least elements of each cycle, including fixed points. A165021

Number of dissectable polyhedra with n tetrahedral cells and symmetry of type I. A47753

Number of dissectable polyhedra with n tetrahedral cells and symmetry of type P. A47765