The number 97730
97730 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 29 × 337. Divisors (16): 1, 2, 5, 10, 29, 58, 145, 290, 337, 674, 1685, 3370, 9773, 19546, 48865, 97730.
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How to work it out
- 1
What is special about 97730: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
97730 is composite. Its prime factorisation is
- 3
The divisors add up to 182520; without 97730 itself that is 84790, so 97730 is deficient (84790 is less than 97730). Euler's totient φ(97730) = 37632 numbers up to 97730 share no factor with it.
- 4
The digits of 97730 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 221 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97730 = 2 \times 5 \times 29 \times 337 \]
97730 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 182520 |
| Euler totient φ(n) | 37632 |
| Square | 9551152900 |
| Cube | 933434172917000 |
| Square root | 312.617978 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 221 |
| Scientific notation | 9.773 × |
97730 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand seven hundred and thirty |
| Binary (base 2) | 10111110111000010 |
| Octal (base 8) | 276702 |
| Hexadecimal (base 16) | 17DC2 |
| Base 3 | 11222001122 |
| As time | 97730 seconds = 27 h 8 min 50 s |
Is 97730 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97730 ÷ 2 = 48865) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (97730 ÷ 5 = 19546) | 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 3) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (97730 ÷ 10 = 9773) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97730 a prime number?
No. 97730 = 2 × 5 × 29 × 337, so it is divisible by 2.
What are the factors of 97730?
1, 2, 5, 10, 29, 58, 145, 290, 337, 674, 1685, 3370, 9773, 19546, 48865, 97730.
What is 97730 in binary?
10111110111000010 (hexadecimal 17DC2, octal 276702).
What is the square root of 97730?
About 312.6180.
Is 97730 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 97730?
97730 is a happy number: repeatedly adding the squares of its digits reaches 1.