Thursday, June 14, 2018

Number of the day: 86203

Andrey Andreyevich Markov was born on this day 162 years ago.

Properties of the number 86203:

86203 is a cyclic number.
86203 = 13 × 19 × 349 is a sphenic number and squarefree.
86203 has 3 distinct prime factors, 8 divisors, 23 antidivisors and 75168 totatives.
86203 has a prime digit sum 19 in base 10.
86203 = 483 - 293 is the difference of 2 positive cubes in 1 way.
86203 = 431022 - 431012 = 33222 - 33092 = 22782 - 22592 = 2982 - 512 is the difference of 2 nonnegative squares in 4 ways.
86203 is the difference of 2 positive pentagonal numbers in 3 ways.
86203 = 12 + 392 + 2912 is the sum of 3 positive squares.
862032 = 510722 + 694452 = 331552 + 795722 = 126352 + 852722 = 444602 + 738532 is the sum of 2 positive squares in 4 ways.
862032 is the sum of 3 positive squares.
86203 is a proper divisor of 9114 - 1.
86203 = '86' + '203' is the concatenation of 2 semiprime numbers.
86203 is palindromic in (at least) the following bases: -62, and -79.
86203 in base 18 = ee11 and consists of only the digits '1' and 'e'.
86203 in base 56 = RRJ and consists of only the digits 'J' and 'R'.
86203 in base 61 = NAA and consists of only the digits 'A' and 'N'.

The number 86203 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A123375: Least k such that the difference between consecutive semiprimes A065516(k) equals n, or 0 if no such k exists.
A125554: a(0)=2. a(n) = the a(n-1)th integer from among those positive integers coprime to n.
A228641: Volume of torus (rounded down) with major radius = n and minor radius = n/3.
A240707: Sum of the middle parts in the partitions of 4n-1 into 3 parts.

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