Properties of the Number 3876

Three Thousand Eight Hundred Seventy-Six

Basics

Value: 3875 → 3876 → 3877

Parity: even

Prime: No

Previous Prime: 3863

Next Prime: 3877

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 17 × 19

Divisors: 1, 2, 3, 4, 6, 12, 17, 19, 34, 38

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111100100100

Octal: 7444

Duodecimal: 22B0

Hexadecimal: f24

Square: 15023376

Square Root: 62.25752966509352

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

Binomial coefficient binomial(n,4) = n*(n-1)*(n-2)*(n-3)/24. A332

a(n) = binomial(3·n+1,n)/(n+1). A6013

a(1) = 1 and a(n) = ceiling((∑_k=1..n-1 a(k))/3) for n >= 2. A72493

a(n) = ∑_d∣n p(d), where p(d) = A000041 = number of partitions of d. A47968

If n = 2·m then a(n) = binomial(3·m, m)/(2·m+1), if n=2·m+1 then a(n) = binomial(3·m+1, m+1)/(2·m+1). A47749

a(n) = lcm{1,2,...,n} / swinging_factorial(n) = A003418(n) / A056040(n). A180000

Number of intersections of diagonals in the interior of a regular n-gon. A6561

a(n) = 4·n² - 7·n + 4. A54567

a(n) = binomial(2ⁿ + n - 1, n). A60690

Generalized 15-gonal (or pentadecagonal) numbers: n*(13·n - 11)/2, n = 0,+1,-1,+2,-2,+3,-3, ... A277082