Final answer:
The number is 83, as it has 4 prime factors, all of which are one-digit prime numbers, and the sum of its prime factors is odd.
Step-by-step explanation:
To find the number, we need to consider numbers between 80 and 100 that have 4 prime factors. Since the number has 4 prime factors and all the prime factors are one digit numbers, the number will be a product of 4 distinct single-digit prime numbers.
The prime numbers between 2 and 9 are 2, 3, 5, 7. We can check the sum of the prime factors of each number between 80 and 100 to see if it is odd:
80 = 2 × 2 × 2 × 5, sum of prime factors = 2 + 2 + 2 + 5 = 11 (odd)
81 = 3 × 3 × 3 × 3, sum of prime factors = 3 + 3 + 3 + 3 = 12 (even)
82 = 2 × 41, sum of prime factors = 2 + 41 = 43 (odd)
83 = 83, sum of prime factors = 83 (odd)
...
From the list above, we can see that the number is 83, as it is between 80 and 100, has 4 prime factors, and the sum of its prime factors is odd.