Number of the day: 7232

René Descartes was born on this day 422 years ago.

Properties of the number 7232:

7232 = 2⁶ × 113 is the 6307^th composite number and is not squarefree.
7232 has 2 distinct prime factors, 14 divisors, 11 antidivisors and 3584 totatives.
7232 has a semiprime digit sum 14 in base 10.
Reversing the decimal digits of 7232 results in a semiprime.
7232 = 1809² - 1807² = 906² - 902² = 456² - 448² = 234² - 218² = 129² - 97² is the difference of 2 nonnegative squares in 5 ways.
7232 = 56² + 64² is the sum of 2 positive squares in 1 way.
7232 = 16² + 24² + 80² is the sum of 3 positive squares.
7232² = 960² + 7168² is the sum of 2 positive squares in 1 way.
7232² is the sum of 3 positive squares.
7232 is a proper divisor of 241⁴ - 1.
7232 is palindromic in (at least) base 15.
7232 in base 15 = 2222 and consists of only the digit '2'.
7232 in base 21 = g88 and consists of only the digits '8' and 'g'.
7232 in base 42 = 448 and consists of only the digits '4' and '8'.

The number 7232 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A030632: Numbers with 14 divisors.
A080054: G.f.: Product_{n >= 0} (1+x^(2n+1))/(1-x^(2n+1)).
A124212: E.g.f.: exp(x)/sqrt(2-exp(2*x)).
A145303: a(n) = ((8 + sqrt(8))^n + (8 - sqrt(8))^n)/2.
A189987: Numbers with prime factorization pq^6.
A197409: 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 3,0,1,1,1 for x=0,1,2,3,4
A210030: Expansion of phi(-q) / phi(q^2) in powers of q where phi() is a Ramanujan theta function.
A285828: Decimal representation of the diagonal from the origin to the corner of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 105", based on the 5-celled von Neumann neighborhood.
A286704: Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 211", based on the 5-celled von Neumann neighborhood.
A287285: Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 260", based on the 5-celled von Neumann neighborhood.