The number 97220
97220 is a composite number with 12 divisors. Its prime factorisation is × 5 × 4861. Divisors (12): 1, 2, 4, 5, 10, 20, 4861, 9722, 19444, 24305, 48610, 97220.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97220: a Harshad number: divisible by its digit sum 20.
- 2
97220 is composite. Its prime factorisation is
- 3
The divisors add up to 204204; without 97220 itself that is 106984, so 97220 is abundant (106984 is more than 97220). Euler's totient φ(97220) = 38880 numbers up to 97220 share no factor with it.
- 4
The digits of 97220 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97220 = 2^{2} \times 5 \times 4861 \]97220 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 204204 |
| Euler totient φ(n) | 38880 |
| Square | 9451728400 |
| Cube | 918897035048000 |
| Square root | 311.801219 (= 2√24305) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 66 |
| Scientific notation | 9.722 × |
97220 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand two hundred and twenty |
| Binary (base 2) | 10111101111000100 |
| Octal (base 8) | 275704 |
| Hexadecimal (base 16) | 17BC4 |
| Base 3 | 11221100202 |
| As time | 97220 seconds = 27 h 0 min 20 s |
Is 97220 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97220 ÷ 2 = 48610) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (97220 ÷ 4 = 24305) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (97220 ÷ 5 = 19444) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (97220 ÷ 10 = 9722) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97220 a prime number?
No. 97220 = × 5 × 4861, so it is divisible by 2.
What are the factors of 97220?
1, 2, 4, 5, 10, 20, 4861, 9722, 19444, 24305, 48610, 97220.
What is 97220 in binary?
10111101111000100 (hexadecimal 17BC4, octal 275704).
What is the square root of 97220?
About 311.8012, exactly 2√24305.
Is 97220 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 97220?
97220 is a Harshad number: divisible by its digit sum 20.