Properties of the Number 3927

Three Thousand Nine Hundred Twenty-Seven

Basics

Value: 3926 → 3927 → 3928

Parity: odd

Prime: No

Previous Prime: 3923

Next Prime: 3929

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 × 11 × 17

Divisors: 1, 3, 7, 11, 17, 21, 33, 51, 77, 119

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101010111

Octal: 7527

Duodecimal: 2333

Hexadecimal: f57

Square: 15421329

Square Root: 62.66578013557319

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) = 3·a(n-1) + a(n-2), with a(0)=0, a(1)=1. A6190

Number of separable partitions of n; see Comments. A325534

Table by antidiagonals of T(n,k) = n·T(n,k-1) + T(n,k-2) starting with T(n,1) = 1. A73133

Array A(n,k) = n·A(n,k-1) + A(n,k-2) read by upward antidiagonals, starting A(n,0) = 0, A(n,1) = 1. A172236

Array read by ascending antidiagonals. A(n, k) = Fibonacci(k, n), where Fibonacci(n, x) are the Fibonacci polynomials. A352361

Array A(n, k) = Fibonacci(n+1, k), with A(n, 0) = A(n, n) = 1, read by antidiagonals. A157103

Indices n such that A019328(n) = φ(n,10) is prime, where φ is a cyclotomic polynomial. A138940

7 times triangular numbers: 7·n*(n+1)/2. A24966

a(n)=A089551(n)/2. A89558

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250676