The number 97307
97307 is a composite number with 4 divisors. Its prime factorisation is 7 × 13901. Divisors (4): 1, 7, 13901, 97307.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97307: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 13901, the product of two primes.
- 2
97307 is composite. Its prime factorisation is
- 3
The divisors add up to 111216; without 97307 itself that is 13909, so 97307 is deficient (13909 is less than 97307). Euler's totient φ(97307) = 83400 numbers up to 97307 share no factor with it.
- 4
The digits of 97307 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
\[ 97307 = 7 \times 13901 \]
97307 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 111216 |
| Euler totient φ(n) | 83400 |
| Square | 9468652249 |
| Cube | 921366144393443 |
| Square root | 311.940699 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 221 |
| Scientific notation | 9.7307 × |
97307 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand three hundred and seven |
| Binary (base 2) | 10111110000011011 |
| Octal (base 8) | 276033 |
| Hexadecimal (base 16) | 17C1B |
| Base 3 | 11221110222 |
| As time | 97307 seconds = 27 h 1 min 47 s |
Is 97307 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 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (97307 ÷ 7 = 13901) | 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 3) | 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 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97307 a prime number?
No. 97307 = 7 × 13901, so it is divisible by 7.
What are the factors of 97307?
1, 7, 13901, 97307.
What is 97307 in binary?
10111110000011011 (hexadecimal 17C1B, octal 276033).
What is the square root of 97307?
About 311.9407.
Is 97307 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 97307?
97307 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 13901, the product of two primes.