The number 97221
97221 is a composite number with 8 divisors. Its prime factorisation is 3 × 23 × 1409. Divisors (8): 1, 3, 23, 69, 1409, 4227, 32407, 97221.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97221: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
97221 is composite. Its prime factorisation is
- 3
The divisors add up to 135360; without 97221 itself that is 38139, so 97221 is deficient (38139 is less than 97221). Euler's totient φ(97221) = 61952 numbers up to 97221 share no factor with it.
- 4
The digits of 97221 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97221 = 3 \times 23 \times 1409 \]
97221 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 135360 |
| Euler totient φ(n) | 61952 |
| Square | 9451922841 |
| Cube | 918925390524861 |
| Square root | 311.802822 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 66 |
| Scientific notation | 9.7221 × |
97221 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand two hundred and twenty-one |
| Binary (base 2) | 10111101111000101 |
| Octal (base 8) | 275705 |
| Hexadecimal (base 16) | 17BC5 |
| Base 3 | 11221100210 |
| As time | 97221 seconds = 27 h 0 min 21 s |
Is 97221 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (97221 ÷ 3 = 32407) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97221 a prime number?
No. 97221 = 3 × 23 × 1409, so it is divisible by 3.
What are the factors of 97221?
1, 3, 23, 69, 1409, 4227, 32407, 97221.
What is 97221 in binary?
10111101111000101 (hexadecimal 17BC5, octal 275705).
What is the square root of 97221?
About 311.8028.
Is 97221 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 97221?
97221 is a happy number: repeatedly adding the squares of its digits reaches 1.