Thursday, August 30, 2018

Number of the day: 98881

Properties of the number 98881:

98881 is a cyclic number.
98881 = 61 × 1621 is semiprime and squarefree.
98881 has 2 distinct prime factors, 4 divisors, 7 antidivisors and 97200 totatives.
98881 has a semiprime digit sum 34 in base 10.
98881 has a Fibonacci digit sum 34 in base 10.
Reversing the decimal digits of 98881 results in an emirpimes.
98881 = 494412 - 494402 = 8412 - 7802 is the difference of 2 nonnegative squares in 2 ways.
98881 is the sum of 2 positive triangular numbers.
98881 is the difference of 2 positive pentagonal numbers in 2 ways.
98881 = 1842 + 2552 = 1352 + 2842 is the sum of 2 positive squares in 2 ways.
98881 = 362 + 1212 + 2882 is the sum of 3 positive squares.
988812 = 624312 + 766802 = 178312 + 972602 = 311692 + 938402 = 475802 + 866812 is the sum of 2 positive squares in 4 ways.
988812 is the sum of 3 positive squares.
98881 is a proper divisor of 148915 - 1.
98881 = '9' + '8881' is the concatenation of 2 semiprime numbers.
98881 is an emirpimes in (at least) the following bases: 2, 3, 10, 14, 17, 18, 21, 22, 24, 27, 29, 36, 39, 41, 45, 46, 47, 49, 55, 56, 59, 63, 68, 71, 72, 74, 83, 87, 91, 92, 93, 97, 98, and 100.
98881 is palindromic in (at least) base -53.
98881 in base 52 = aTT and consists of only the digits 'T' and 'a'.

The number 98881 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A020286: Strong pseudoprimes to base 60.
A020315: Strong pseudoprimes to base 89.
A067375: Integers expressible as the sum of (at least two) consecutive primes in at least 5 ways.

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