Number of the day: 17716

Carl Gustav Jacob Jacobi was born on this day 216 years ago.

Properties of the number 17716:

(17716, 14316, 19116, 31704, 47616, 83328, 177792, 295488, 629072, 589786, 294896, 358336, 418904, 366556, 274924, 275444, 243760, 376736, 381028, 285778, 152990, 122410, 97946, 48976, 45946, 22976, 22744, 19916) is a cycle of sociable numbers of length 28.
17716 = 2² × 43 × 103 is the 15681^th composite number and is not squarefree.
17716 has 3 distinct prime factors, 12 divisors, 15 antidivisors and 8568 totatives.
17716 has a semiprime digit sum 22 in base 10.
Reversing the decimal digits of 17716 results in a semiprime.
17716 = 4430² - 4428² = 146² - 60² is the difference of 2 nonnegative squares in 2 ways.
17716 is the sum of 2 positive triangular numbers.
17716 is the difference of 2 positive pentagonal numbers in 3 ways.
17716 = 6² + 16² + 132² is the sum of 3 positive squares.
17716² is the sum of 3 positive squares.
17716 is a proper divisor of 1031² - 1.
17716 is palindromic in (at least) the following bases: -55, and -72.
17716 in base 14 = 6656 and consists of only the digits '5' and '6'.
17716 in base 54 = 644 and consists of only the digits '4' and '6'.
17716 in base 59 = 55G and consists of only the digits '5' and 'G'.

The number 17716 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A045247: Numbers n with property that in base 5 representation the numbers of 1's and 3's are 3 and 3, respectively.
A072890: The 28-cycle of the n => sigma(n)-n process, where sigma(n) is the sum of divisors of n (A000203).
A122726: Sociable numbers.
A157729: a(n) = Fibonacci(n) + 5.
A187670: T(n,k)=Number of (n+1)X(n+1) 0..k arrays with each 2X2 subblock nonsingular and the array of 2X2 subblock determinants symmetric about the diagonal and antidiagonal
A187671: Number of 3X3 0..n arrays with each 2X2 subblock nonsingular and the array of 2X2 subblock determinants symmetric about the diagonal and antidiagonal
A229577: Number of defective 4-colorings of an n X 7 0..3 array connected horizontally, vertically, diagonally and antidiagonally with exactly one mistake, and colors introduced in row-major 0..3 order.
A244714: Number of compositions of n with exactly 2 transitions between different parts.
A274163: Number of real integers in n-th generation of tree T(4i) defined in Comments.
A323348: Number of integer partitions of n whose parts cannot be arranged into a (not necessarily square) matrix with equal row-sums and equal column-sums.