Tuesday, March 22, 2016

Number of the day: 9377

Properties of the number 9377:

9377 is the 1160th prime.
9377 has 25 antidivisors and 9376 totatives.
9377 has a semiprime digit sum 26 in base 10.
Reversing the decimal digits of 9377 results in a semiprime.
9377 = 46892 - 46882 is the difference of 2 nonnegative squares in 1 way.
9377 is the sum of 3 positive squares.
9377 = 562 + 792 is the sum of 2 positive squares in 1 way.
93772 is the sum of 2 positive squares in 1 way.
9377 is an emirp in (at least) the following bases: 2, 3, 6, 7, 9, 12, 14, 23, 29, 31, 32, 33, 37, 41, 49, 55, 57, 61, 70, 71, 76, 77, 79, 82, 84, 87, 91, 98, and 100.
9377 in base 12 = 5515 and consists of only the digits '1' and '5'.
9377 in base 23 = hgg and consists of only the digits 'g' and 'h'.
9377 in base 39 = 66H and consists of only the digits '6' and 'H'.
9377 in base 43 = 533 and consists of only the digits '3' and '5'.

The number 9377 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A023303: Numbers n such that n remains prime through 4 iterations of function f(x) = 2x + 3.
A059605: a(n)=(1/3!)*(n^3+24*n^2+107*n+90), compare A059604.
A068652: Numbers such that every cyclic permutation is a prime.
A082077: Balanced primes of order two.
A108385: Primes p such that p's set of distinct digits is {3,7,9}.
A142019: Primes congruent to 15 mod 31.
A142125: Primes congruent to 16 mod 37.
A176470: Primes of the form 5*x^2-3*y^2, where x and y are consecutive numbers.
A210498: Prime numbers that become emirps when their least-significant-digit is deleted.
A214675: 9*n^2 - 13*n + 5.

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