Number of the day: 3716

Properties of the number 3716:

3716 = 2² × 929 is the 3197^th composite number and is not squarefree.
3716 has 2 distinct prime factors, 6 divisors, 3 antidivisors and 1856 totatives.
3716 has an emirp digit sum 17 in base 10.
Reversing the decimal digits of 3716 results in a prime.
3716 = 930² - 928² is the difference of 2 nonnegative squares in 1 way.
3716 is the difference of 2 positive pentagonal numbers in 1 way.
3716 = 40² + 46² is the sum of 2 positive squares in 1 way.
3716 = 4² + 10² + 60² is the sum of 3 positive squares.
3716² = 516² + 3680² is the sum of 2 positive squares in 1 way.
3716² is the sum of 3 positive squares.
3716 is a divisor of 911⁸ - 1.
3716 = '371' + '6' is the concatenation of 2 semiprime numbers.
3716 is palindromic in (at least) the following bases: 29, -19, and -32.
3716 in base 18 = b88 and consists of only the digits '8' and 'b'.
3716 in base 21 = 88k and consists of only the digits '8' and 'k'.
3716 in base 28 = 4kk and consists of only the digits '4' and 'k'.
3716 in base 29 = 4c4 and consists of only the digits '4' and 'c'.
3716 in base 60 = 11u and consists of only the digits '1' and 'u'.

The number 3716 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A007042: Diagonal of partition triangle A047812.
A081579: Pascal-(1,4,1) array.
A124560: Rectangular table, read by antidiagonals, such that the g.f. of row n, R_n(y), satisfies: R_n(y) = Sum_{k>=0} y^k * [R_{n*k}(y)]^(n*k) for n>=0, with R_0(y)=1/(1-y).
A124562: Row 2 of table A124560; also, the self-convolution square equals A124552, which is row 2 of table A124550.
A196138: T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 0,2,1,3,4 for x=0,1,2,3,4
A203355: T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 010 and 101 in rows, columns and nw-to-se diagonals
A204197: T(n,k)=Number of nXk 0..1 arrays with no occurence of three equal elements in a row horizontally, vertically or nw-to-se diagonally, and new values 0..1 introduced in row major order
A213109: E.g.f.: A(x) = exp( x/A(-x*A(x)^3) ).
A230092: Numbers of the form k + wt(k) for exactly three distinct k, where wt(k) = A000120(k) is the binary weight of k.
A273357: Numbers n such that the decimal number concat(2,n) is a square.