Properties of the Number 3828

Three Thousand Eight Hundred Twenty-Eight

Basics

Value: 3827 → 3828 → 3829

Parity: even

Prime: No

Previous Prime: 3823

Next Prime: 3833

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 11 × 29

Divisors: 1, 2, 3, 4, 6, 11, 12, 22, 29, 33

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: Yes

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 111011110100

Octal: 7364

Duodecimal: 2270

Hexadecimal: ef4

Square: 14653584

Square Root: 61.87083319303208

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

Hexagonal numbers: a(n) = n*(2·n-1). A384

Balanced numbers: numbers k such that φ(k) (A000010) divides σ(k) (A000203). A20492

Expansion of 6-dimensional cusp form (η(q) * η(q³))⁶ in powers of q. A7332

a(n) = n!*(1 - 1/2 + 1/3 - ... + c/n), where c = (-1)ⁿ⁺¹. A24167

Number of partitions of n in which the greatest part is 8. A26814

Numbers k such that the geometric mean of φ(k) and σ(k) is an integer. A11257

a(n) = 2·n*(4·n - 1). A14635

Staggered diagonal of triangular spiral in A051682. A81266

Number of n X n binary arrays with path of adjacent 1's from upper right corner to lower left corner. A69343

Product of primes indexed by the prime exponents of n!. A325508