A: No, the number 398,546 is not a perfect square.

A perfect square is a number that can be expressed as the product of two equal integers.

The only way to accurately calculate if a number is a perfect square is to find the factors. Before we go through the trouble of finding the factors, there is a quick trick you can use to help determine if you need even need to do the extra work.

Try these steps first:

- A number that is a perfect square never ends in 2, 3, 7 or 8. If your number ends in any of those numbers, you can stop here because your number is not a perfect square.
- Obtain the digital root of the number. The digital root essentially is the sum of all of the digits. If you're lost, don't worry, we'll go over each step in more detail below.
- All possible numbers that are a perfect square have a digital root of 1, 4, 7, 9.

Let's try it...

**Step 1:**

What is the last number of 398,546? It is this number: 398546. The answer is 6. Is 6 in the list of numbers that are never perfect squares (2, 3, 7 or 8)?

Answer: NO, 6 is not in the list of numbers that are never perfect squares. Let's continue to the next step.

**Step 2:**

We now need to obtain the digital root of the number. Here's how you do it:

- Split the number up and add each digit together:

3 + 9 + 8 + 5 + 4 + 6 = 35

If the answer is more than one digit, you would add each digit of the answer together again:

3 + 5 = 8

What is the digital root of number 398,546?

Answer: **8**

**Step 3:**

So now we know the digital root of 398,546 is
**8**. Is 8 in the list of digital roots that are always a square root (1, 4, 7 or 9)?

Answer:
NO, 8 is not in the list of digital roots that are always perfect squares. We can conclude that 398,546 **IS NOT** a perfect square and we don't need to factor!

General Questions

- How is the number 398,546 written in scientific notation?
- What is the absolute value of the number 398,546?
- What is the negative version of the number 398,546?
- What is the place value chart for the number 398,546?
- What is the digital root of the number 398,546?
- How many digits is in the number 398,546?
- How is 398,546 written in roman numerals?

Factoring Questions

- What are the factors or divisors of the number 398,546?
- What are the prime factors of the number 398,546?
- What is the total number of factors of the number 398,546?
- What is the total number of prime factors of the number 398,546?
- What is the sum of all factors of the number 398,546 including 398,546?
- What is the sum of all factors of the number 398,546 excluding 398,546?
- What are the factor combinations of the number 398,546?
- What is the prime factorization of the number 398,546?

Calculation Questions

Miscellaneous Questions

- How much data will 398,546 bytes hold in different storage units?
- What is 398,546 in other base number systems?
- How is 398,546 spelled out in other languages or countries?
- How is 398,546 formatted in other languages or countries?
- How is 398,546 formatted as currency in different languages or countries?
- What are the different hash algorithm outputs for 398,546?