The number 7349
7349 is a twin prime (7349 and 7351 are both prime) and the 936th prime number. Its only divisors are 1 and 7349.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7349: a twin prime (7349 and 7351 are both prime); the 936th prime number.
- 2
7349 is prime, so its only factors are 1 and 7349. It is the 936th prime; the next prime is 7351 and the one before is 7333.
- 3
The divisors add up to 7350; without 7349 itself that is 1, so 7349 is deficient (1 is less than 7349). Euler's totient φ(7349) = 7348 numbers up to 7349 share no factor with it.
- 4
The digits of 7349 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
7349 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 7350 |
| Euler totient φ(n) | 7348 |
| Square | 54007801 |
| Cube | 396903329549 |
| Square root | 85.726309 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 132 |
| Scientific notation | 7.349 × |
7349 in other forms
| Form | Value |
|---|---|
| In words | seven thousand three hundred and forty-nine |
| Binary (base 2) | 1110010110101 |
| Octal (base 8) | 16265 |
| Hexadecimal (base 16) | 1CB5 |
| Base 3 | 101002012 |
| As time | 7349 seconds = 2 h 2 min 29 s |
Is 7349 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 | No (remainder 6) | 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 1) | 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 7349 a prime number?
Yes. 7349 is divisible only by 1 and itself.
What are the factors of 7349?
1, 7349.
What is 7349 in binary?
1110010110101 (hexadecimal 1CB5, octal 16265).
What is the square root of 7349?
About 85.7263.
Is 7349 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 7349?
7349 is a twin prime (7349 and 7351 are both prime); the 936th prime number.