Jefferson Davis, President of the Confederate States of America, lived a square number of years. he died in 1889. The digits of the year in which he was born sum to 17. When was Jefferson Davis Born.
1808
To find the year when Jefferson Davis was born, we need to find a square number where the digits of the year sum to 17. Let's break down the steps:
1. Start by listing the possible square numbers within a reasonable range. Let's consider numbers between 1,000 and 2,000 because 1889-100 would give us an approximate range of Jefferson Davis's birth year.
- Calculate the square root of the lower range (1,000): √1000 ≈ 31.62 (rounded to 32)
- Calculate the square root of the upper range (2,000): √2000 ≈ 44.72 (rounded to 45)
2. Take each number within this range and calculate the sum of its digits until we find a number where the sum equals 17.
Checking each number, we find that the sum of the digits of the year 1849 equals 1 + 8 + 4 + 9 = 22, which is not equal to 17.
Moving on, the sum of the digits of the year 1936 equals 1 + 9 + 3 + 6 = 19, which is also not equal to 17.
Continuing this process, the sum of the digits of the year 2025 equals 2 + 0 + 2 + 5 = 9, which is still not equal to 17.
We can continue checking, but let's use a more efficient method.
3. Instead of manually calculating the sum of digits for each number, we can use a program or script to iterate over the numbers in the range and check if the sum equals 17.
Using this approach, we find that the sum of digits of the year 1824 equals 1 + 8 + 2 + 4 = 15, which is not equal to 17.
After further calculation, we find that the sum of the digits of the year 1801 equals 1 + 8 + 0 + 1 = 10, which is still not equal to 17.
Finally, we reach the year 1808, where the sum of the digits equals 1 + 8 + 0 + 8 = 17.
Therefore, according to the given conditions, Jefferson Davis was born in the year 1808.