The number 97122
97122 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 16187. Divisors (8): 1, 2, 3, 6, 16187, 32374, 48561, 97122.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97122: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
97122 is composite. Its prime factorisation is
- 3
The divisors add up to 194256; without 97122 itself that is 97134, so 97122 is abundant (97134 is more than 97122). Euler's totient φ(97122) = 32372 numbers up to 97122 share no factor with it.
- 4
The digits of 97122 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 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97122 = 2 \times 3 \times 16187 \]
97122 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 194256 |
| Euler totient φ(n) | 32372 |
| Square | 9432682884 |
| Cube | 916121027059848 |
| Square root | 311.644028 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.7122 × |
97122 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand one hundred and twenty-two |
| Binary (base 2) | 10111101101100010 |
| Octal (base 8) | 275542 |
| Hexadecimal (base 16) | 17B62 |
| Base 3 | 11221020010 |
| As time | 97122 seconds = 26 h 58 min 42 s |
Is 97122 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97122 ÷ 2 = 48561) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (97122 ÷ 3 = 32374) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (97122 ÷ 6 = 16187) | 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 2) | 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 2) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97122 a prime number?
No. 97122 = 2 × 3 × 16187, so it is divisible by 2.
What are the factors of 97122?
1, 2, 3, 6, 16187, 32374, 48561, 97122.
What is 97122 in binary?
10111101101100010 (hexadecimal 17B62, octal 275542).
What is the square root of 97122?
About 311.6440.
Is 97122 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 97122?
97122 is a happy number: repeatedly adding the squares of its digits reaches 1.