The number 1127
1127 is a composite number with 6 divisors. Its prime factorisation is Ć 23. Divisors (6): 1, 7, 23, 49, 161, 1127.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1127 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1127 is composite. Its prime factorisation is
- 3
The divisors add up to 1368; without 1127 itself that is 241, so 1127 is deficient (241 is less than 1127). Euler's totient Ļ(1127) = 924 numbers up to 1127 share no factor with it.
- 4
The digits of 1127 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1127 = 7^{2} \times 23 \]1127 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 1368 |
| Euler totient Ļ(n) | 924 |
| Square | 1270129 |
| Cube | 1431435383 |
| Square root | 33.570821 (= 7ā23) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 137 |
| Scientific notation | 1.127 Ć |
1127 in other forms
| Form | Value |
|---|---|
| In words | one thousand one hundred and twenty-seven |
| Roman numerals | MCXXVII |
| Binary (base 2) | 10001100111 |
| Octal (base 8) | 2147 |
| Hexadecimal (base 16) | 467 |
| Base 3 | 1112202 |
| As time | 1127 seconds = 18 min 47 s |
Is 1127 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 | Yes (1127 Ć· 7 = 161) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1127 a prime number?
No. 1127 = Ć 23, so it is divisible by 7.
What are the factors of 1127?
1, 7, 23, 49, 161, 1127.
What is 1127 in binary?
10001100111 (hexadecimal 467, octal 2147).
What is the square root of 1127?
About 33.5708, exactly 7ā23.
What is 1127 in Roman numerals?
MCXXVII.
Is 1127 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 1127?
It is a composite number with 6 divisors.