Sunday, August 2, 2020

Number of the day: 158293

Properties of the number 158293:

158293 is a cyclic number.
158293 is the 14543th prime.
158293 has 5 antidivisors and 158292 totatives.
158293 has a triangular digit sum 28 in base 10.
158293 has sum of divisors equal to 158294 which is an emirpimes.
Reversing the decimal digits of 158293 results in an emirp.
158293 = 791472 - 791462 is the difference of 2 nonnegative squares in 1 way.
158293 is the sum of 2 positive triangular numbers.
158293 is the difference of 2 positive pentagonal numbers in 1 way.
158293 = 622 + 3932 is the sum of 2 positive squares in 1 way.
158293 = 542 + 892 + 3842 is the sum of 3 positive squares.
1582932 = 487322 + 1506052 is the sum of 2 positive squares in 1 way.
1582932 is the sum of 3 positive squares.
158293 is a proper divisor of 3974397 - 1.
158293 is an emirp in (at least) the following bases: 5, 9, 10, 20, 21, 27, 31, 44, 46, 50, 59, 62, 76, 77, 79, 82, 83, 85, 91, 95, and 96.
158293 is palindromic in (at least) base 73.
158293 in base 4 = 212221111 and consists of only the digits '1' and '2'.

The number 158293 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A226986: Primes p such that both prevprime(p^2) - 2 and nextprime(p^2) + 2 are also primes.
A267821: Primes whose base-9 representation is a square in base 10.
A298693: G.f. A(x) satisfies: A(x) = Sum_{n>=0} binomial( n*(n+1), n)/(n+1) * x^n / A(x)^( n*(n+1) ).

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