Monday, August 3, 2020

Number of the day: 71735

Properties of the number 71735:

71735 is a cyclic number.
71735 = 5 × 14347 is semiprime and squarefree.
71735 has 2 distinct prime factors, 4 divisors, 15 antidivisors and 57384 totatives.
71735 has a prime digit sum 23 in base 10.
Reversing the decimal digits of 71735 results in a prime.
71735 = 358682 - 358672 = 71762 - 71712 is the difference of 2 nonnegative squares in 2 ways.
71735 is the difference of 2 positive pentagonal numbers in 2 ways.
71735 is not the sum of 3 positive squares.
717352 = 430412 + 573882 is the sum of 2 positive squares in 1 way.
717352 is the sum of 3 positive squares.
71735 is a proper divisor of 191797 - 1.
71735 = '717' + '35' is the concatenation of 2 semiprime numbers.
71735 is an emirpimes in (at least) the following bases: 2, 3, 6, 9, 14, 16, 17, 25, 27, 28, 29, 33, 35, 40, 42, 45, 48, 58, 59, 60, 61, 73, 77, 79, 80, 82, 85, 87, 88, 90, and 93.
71735 is palindromic in (at least) the following bases: 11, -42, -52, and -53.
71735 in base 11 = 49994 and consists of only the digits '4' and '9'.
71735 in base 51 = RTT and consists of only the digits 'R' and 'T'.
71735 in base 52 = QRR and consists of only the digits 'Q' and 'R'.

The number 71735 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequence (among others):

Sequence number and description below are taken from OEIS.
A280038: Numerators of fractions converging to limiting value of shifted Fekete polynomials.

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