The number 13049
13049 is the 1555th prime number. Its only divisors are 1 and 13049.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13049: the 1555th prime number.
- 2
13049 is prime, so its only factors are 1 and 13049. It is the 1555th prime; the next prime is 13063 and the one before is 13043.
- 3
The divisors add up to 13050; without 13049 itself that is 1, so 13049 is deficient (1 is less than 13049). Euler's totient φ(13049) = 13048 numbers up to 13049 share no factor with it.
- 4
The digits of 13049 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 200 steps to reach 1.
13049 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 13050 |
| Euler totient φ(n) | 13048 |
| Square | 170276401 |
| Cube | 2221936756649 |
| Square root | 114.232220 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 200 |
| Scientific notation | 1.3049 × |
13049 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and forty-nine |
| Binary (base 2) | 11001011111001 |
| Octal (base 8) | 31371 |
| Hexadecimal (base 16) | 32F9 |
| Base 3 | 122220022 |
| As time | 13049 seconds = 3 h 37 min 29 s |
Is 13049 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 1) | 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 1) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 13049 a prime number?
Yes. 13049 is divisible only by 1 and itself.
What are the factors of 13049?
1, 13049.
What is 13049 in binary?
11001011111001 (hexadecimal 32F9, octal 31371).
What is the square root of 13049?
About 114.2322.
Is 13049 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 13049?
13049 is the 1555th prime number.