Properties of the Number 3728

Three Thousand Seven Hundred Twenty-Eight

Basics

Value: 3727 → 3728 → 3729

Parity: even

Prime: No

Previous Prime: 3727

Next Prime: 3733

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ⁴ × 233

Divisors: 1, 2, 4, 8, 16, 233, 466, 932, 1864, 3728

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111010010000

Octal: 7220

Duodecimal: 21A8

Hexadecimal: e90

Square: 13897984

Square Root: 61.05735008989499

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

Number of partitions with no even part repeated; partitions of n in which no parts are multiples of 4. A1935

Expansion of ψ(x) / φ(x) in powers of·where φ(), ψ() are Ramanujan θ functions. A83365

G.f. satisfies: A(x) = (1 + x·A(x)³)*(1 + x²*A(x)³). A199876

Main diagonal of A277320: a(n) = A048720(n, A065621(n)). A277699

T(n,k)=Number of nXk 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,-1) and new values introduced in order 0..2. A275266

Numbers k such that φ(x) = k has exactly 5 solutions. A60668

Let S denote the palindromes in the language {0,1}*; a(n) = number of words of length n in the language SS. A7055

Number of tilings of a 5 X n rectangle using n pentominoes of shapes L, X. A234312

Sum of the denominators of the Farey series of order n (A006843). A240877

First row of spectral array W(sqrt(5)-1). A22165