The number 1049
1049 is a twin prime (1049 and 1051 are both prime) and the 176th prime number. Its only divisors are 1 and 1049.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1049: a twin prime (1049 and 1051 are both prime); the 176th prime number.
- 2
1049 is prime, so its only factors are 1 and 1049. It is the 176th prime; the next prime is 1051 and the one before is 1039.
- 3
The divisors add up to 1050; without 1049 itself that is 1, so 1049 is deficient (1 is less than 1049). Euler's totient φ(1049) = 1048 numbers up to 1049 share no factor with it.
- 4
The digits of 1049 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
1049 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 1050 |
| Euler totient φ(n) | 1048 |
| Square | 1100401 |
| Cube | 1154320649 |
| Square root | 32.388269 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 62 |
| Scientific notation | 1.049 × |
1049 in other forms
| Form | Value |
|---|---|
| In words | one thousand and forty-nine |
| Roman numerals | MXLIX |
| Binary (base 2) | 10000011001 |
| Octal (base 8) | 2031 |
| Hexadecimal (base 16) | 419 |
| Base 3 | 1102212 |
| As time | 1049 seconds = 17 min 29 s |
Is 1049 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 1) | 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 4) | 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 1049 a prime number?
Yes. 1049 is divisible only by 1 and itself.
What are the factors of 1049?
1, 1049.
What is 1049 in binary?
10000011001 (hexadecimal 419, octal 2031).
What is the square root of 1049?
About 32.3883.
What is 1049 in Roman numerals?
MXLIX.
Is 1049 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 1049?
1049 is a twin prime (1049 and 1051 are both prime); the 176th prime number.