The number 1129
1129 is the 189th prime number. Its only divisors are 1 and 1129.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1129: the 189th prime number.
- 2
1129 is prime, so its only factors are 1 and 1129. It is the 189th prime; the next prime is 1151 and the one before is 1123.
- 3
The divisors add up to 1130; without 1129 itself that is 1, so 1129 is deficient (1 is less than 1129). Euler's totient φ(1129) = 1128 numbers up to 1129 share no factor with it.
- 4
The digits of 1129 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
1129 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 1130 |
| Euler totient φ(n) | 1128 |
| Square | 1274641 |
| Cube | 1439069689 |
| Square root | 33.600595 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 36 |
| Scientific notation | 1.129 × |
1129 in other forms
| Form | Value |
|---|---|
| In words | one thousand one hundred and twenty-nine |
| Roman numerals | MCXXIX |
| Binary (base 2) | 10001101001 |
| Octal (base 8) | 2151 |
| Hexadecimal (base 16) | 469 |
| Base 3 | 1112211 |
| As time | 1129 seconds = 18 min 49 s |
Is 1129 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 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 7) | 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 1129 a prime number?
Yes. 1129 is divisible only by 1 and itself.
What are the factors of 1129?
1, 1129.
What is 1129 in binary?
10001101001 (hexadecimal 469, octal 2151).
What is the square root of 1129?
About 33.6006.
What is 1129 in Roman numerals?
MCXXIX.
Is 1129 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 1129?
1129 is the 189th prime number.