## 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 = 12

^{2}+ 25

^{2}+ 95

^{2}is the sum of 3 positive squares.

9794

^{2}is the sum of 3 positive squares.

9794 is a divisor of 167

^{29}- 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.

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