The number 1249
1249 is the 204th prime number. Its only divisors are 1 and 1249.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1249: the 204th prime number.
- 2
1249 is prime, so its only factors are 1 and 1249. It is the 204th prime; the next prime is 1259 and the one before is 1237.
- 3
The divisors add up to 1250; without 1249 itself that is 1, so 1249 is deficient (1 is less than 1249). Euler's totient φ(1249) = 1248 numbers up to 1249 share no factor with it.
- 4
The digits of 1249 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 176 steps to reach 1.
1249 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 1250 |
| Euler totient φ(n) | 1248 |
| Square | 1560001 |
| Cube | 1948441249 |
| Square root | 35.341194 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 176 |
| Scientific notation | 1.249 × |
1249 in other forms
| Form | Value |
|---|---|
| In words | one thousand two hundred and forty-nine |
| Roman numerals | MCCXLIX |
| Binary (base 2) | 10011100001 |
| Octal (base 8) | 2341 |
| Hexadecimal (base 16) | 4E1 |
| Base 3 | 1201021 |
| As time | 1249 seconds = 20 min 49 s |
Is 1249 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 3) | 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 6) | 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 1249 a prime number?
Yes. 1249 is divisible only by 1 and itself.
What are the factors of 1249?
1, 1249.
What is 1249 in binary?
10011100001 (hexadecimal 4E1, octal 2341).
What is the square root of 1249?
About 35.3412.
What is 1249 in Roman numerals?
MCCXLIX.
Is 1249 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 1249?
1249 is the 204th prime number.