The number 97349
97349 is a composite number with 4 divisors. Its prime factorisation is 7 × 13907. Divisors (4): 1, 7, 13907, 97349.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97349: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 13907, the product of two primes.
- 2
97349 is composite. Its prime factorisation is
- 3
The divisors add up to 111264; without 97349 itself that is 13915, so 97349 is deficient (13915 is less than 97349). Euler's totient φ(97349) = 83436 numbers up to 97349 share no factor with it.
- 4
The digits of 97349 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97349 = 7 \times 13907 \]
97349 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 111264 |
| Euler totient φ(n) | 83436 |
| Square | 9476827801 |
| Cube | 922559709599549 |
| Square root | 312.008013 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.7349 × |
97349 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand three hundred and forty-nine |
| Binary (base 2) | 10111110001000101 |
| Octal (base 8) | 276105 |
| Hexadecimal (base 16) | 17C45 |
| Base 3 | 11221112112 |
| As time | 97349 seconds = 27 h 2 min 29 s |
Is 97349 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 (97349 ÷ 7 = 13907) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97349 a prime number?
No. 97349 = 7 × 13907, so it is divisible by 7.
What are the factors of 97349?
1, 7, 13907, 97349.
What is 97349 in binary?
10111110001000101 (hexadecimal 17C45, octal 276105).
What is the square root of 97349?
About 312.0080.
Is 97349 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 97349?
97349 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 13907, the product of two primes.