The number 1137
1137 is a binary palindrome (10001110001). Its prime factorisation is 3 × 379. Divisors (4): 1, 3, 379, 1137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1137: a binary palindrome (10001110001); a semiprime: 3 × 379, the product of two primes.
- 2
1137 is composite. Its prime factorisation is
- 3
The divisors add up to 1520; without 1137 itself that is 383, so 1137 is deficient (383 is less than 1137). Euler's totient φ(1137) = 756 numbers up to 1137 share no factor with it.
- 4
The digits of 1137 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 18 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1137 = 3 \times 379 \]
1137 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1520 |
| Euler totient φ(n) | 756 |
| Square | 1292769 |
| Cube | 1469878353 |
| Square root | 33.719431 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 18 |
| Scientific notation | 1.137 × |
1137 in other forms
| Form | Value |
|---|---|
| In words | one thousand one hundred and thirty-seven |
| Roman numerals | MCXXXVII |
| Binary (base 2) | 10001110001 |
| Octal (base 8) | 2161 |
| Hexadecimal (base 16) | 471 |
| Base 3 | 1120010 |
| As time | 1137 seconds = 18 min 57 s |
Is 1137 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 | Yes (1137 ÷ 3 = 379) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 3) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1137 a prime number?
No. 1137 = 3 × 379, so it is divisible by 3.
What are the factors of 1137?
1, 3, 379, 1137.
What is 1137 in binary?
10001110001 (hexadecimal 471, octal 2161).
What is the square root of 1137?
About 33.7194.
What is 1137 in Roman numerals?
MCXXXVII.
Is 1137 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 1137?
1137 is a binary palindrome (10001110001); a semiprime: 3 × 379, the product of two primes.