The number 12049
12049 is the 1444th prime number. Its only divisors are 1 and 12049.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12049: the 1444th prime number.
- 2
12049 is prime, so its only factors are 1 and 12049. It is the 1444th prime; the next prime is 12071 and the one before is 12043.
- 3
The divisors add up to 12050; without 12049 itself that is 1, so 12049 is deficient (1 is less than 12049). Euler's totient φ(12049) = 12048 numbers up to 12049 share no factor with it.
- 4
The digits of 12049 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
12049 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 12050 |
| Euler totient φ(n) | 12048 |
| Square | 145178401 |
| Cube | 1749254553649 |
| Square root | 109.767937 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 42 |
| Scientific notation | 1.2049 × |
12049 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand and forty-nine |
| Binary (base 2) | 10111100010001 |
| Octal (base 8) | 27421 |
| Hexadecimal (base 16) | 2F11 |
| Base 3 | 121112021 |
| As time | 12049 seconds = 3 h 20 min 49 s |
Is 12049 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 2) | 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 7) | 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 12049 a prime number?
Yes. 12049 is divisible only by 1 and itself.
What are the factors of 12049?
1, 12049.
What is 12049 in binary?
10111100010001 (hexadecimal 2F11, octal 27421).
What is the square root of 12049?
About 109.7679.
Is 12049 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 12049?
12049 is the 1444th prime number.