Properties of the Number 3872

Three Thousand Eight Hundred Seventy-Two

Basics

Value: 3871 → 3872 → 3873

Parity: even

Prime: No

Previous Prime: 3863

Next Prime: 3877

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ⁵ × 11 ²

Divisors: 1, 2, 4, 8, 11, 16, 22, 32, 44, 88

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111100100000

Octal: 7440

Duodecimal: 22A8

Hexadecimal: f20

Square: 14992384

Square Root: 62.22539674441618

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. A1105

a(n) = period of the sequence {b(m), m>=0}, defined by b(m):=binomial(m+n,n) mod n. A133900

Achilles numbers - powerful but imperfect: if n = Product(p_i^e_i) then all e_i > 1 (i.e., powerful), but the highest common factor of the e_i is 1, i.e., not a perfect power. A52486

Number of partitions of n into parts >= 3. A8483

Numbers k such that σ(φ(k)) = φ(σ(k)). A33632

a(0) = 0 and then alternately even and odd numbers in increasing order such that the sum of any two successive terms is a square. A77221

Number of subsets of integers 1 through n (including the empty set) containing no pair of integers that share a common factor. A84422

a(n) = 8·n². A139098

Number of partitions of n in which the least part is 3. A26796

Composite numbers k such that the digits of the prime factors of k are either 1 or 2. A36302