The number 15349
15349 is the 1793rd prime number. Its only divisors are 1 and 15349.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 15349: the 1793rd prime number.
- 2
15349 is prime, so its only factors are 1 and 15349. It is the 1793rd prime; the next prime is 15359 and the one before is 15331.
- 3
The divisors add up to 15350; without 15349 itself that is 1, so 15349 is deficient (1 is less than 15349). Euler's totient φ(15349) = 15348 numbers up to 15349 share no factor with it.
- 4
The digits of 15349 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
15349 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 15350 |
| Euler totient φ(n) | 15348 |
| Square | 235591801 |
| Cube | 3616098553549 |
| Square root | 123.891081 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 133 |
| Scientific notation | 1.5349 × |
15349 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand three hundred and forty-nine |
| Binary (base 2) | 11101111110101 |
| Octal (base 8) | 35765 |
| Hexadecimal (base 16) | 3BF5 |
| Base 3 | 210001111 |
| As time | 15349 seconds = 4 h 15 min 49 s |
Is 15349 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 4) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15349 a prime number?
Yes. 15349 is divisible only by 1 and itself.
What are the factors of 15349?
1, 15349.
What is 15349 in binary?
11101111110101 (hexadecimal 3BF5, octal 35765).
What is the square root of 15349?
About 123.8911.
Is 15349 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 15349?
15349 is the 1793rd prime number.