Number of the day: 9794

Augustin-Louis Cauchy was born on this day 227 years ago.

Properties of the number 9794:

9794 = 2 × 59 × 83 is a sphenic number and squarefree.
9794 has 3 distinct prime factors, 8 divisors, 7 antidivisors and 4756 totatives.
9794 has a prime digit sum 29 in base 10.
Reversing the decimal digits of 9794 results in a semiprime.
9794 is the difference of 2 positive pentagonal numbers in 1 way.
9794 = 12² + 25² + 95² is the sum of 3 positive squares.
9794² is the sum of 3 positive squares.
9794 is a divisor of 167²⁹ - 1.
9794 = '9' + '794' is the concatenation of 2 semiprime numbers.
9794 is palindromic in (at least) the following bases: 64, 68, -23, -55, -72, and -96.

The number 9794 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A010007: a(0) = 1, a(n) = 17*n^2 + 2 for n>0.
A031596: Numbers n such that continued fraction for sqrt(n) has even period and central term 98.
A060168: Number of orbits of length n under the map whose periodic points are counted by A001643.
A137411: Weak Goodstein sequence starting at 11.
A164217: Number of binary strings of length n with equal numbers of 00010 and 01011 substrings
A244474: 4th-largest term in n-th row of Stern's diatomic triangle A002487.
A252676: Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 5 6 or 7
A252679: T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 5 6 or 7
A252682: Number of (3+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 5 6 or 7
A256034: Number of irreducible idempotents in partition monoid P_n.