The number 11137
11137 is a composite number with 8 divisors. Its prime factorisation is 7 × 37 × 43. Divisors (8): 1, 7, 37, 43, 259, 301, 1591, 11137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
11137 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
11137 is composite. Its prime factorisation is
- 3
The divisors add up to 13376; without 11137 itself that is 2239, so 11137 is deficient (2239 is less than 11137). Euler's totient φ(11137) = 9072 numbers up to 11137 share no factor with it.
- 4
The digits of 11137 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 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11137 = 7 \times 37 \times 43 \]
11137 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 13376 |
| Euler totient φ(n) | 9072 |
| Square | 124032769 |
| Cube | 1381352948353 |
| Square root | 105.531986 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 91 |
| Scientific notation | 1.1137 × |
11137 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand one hundred and thirty-seven |
| Binary (base 2) | 10101110000001 |
| Octal (base 8) | 25601 |
| Hexadecimal (base 16) | 2B81 |
| Base 3 | 120021111 |
| As time | 11137 seconds = 3 h 5 min 37 s |
Is 11137 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 2) | 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 | Yes (11137 ÷ 7 = 1591) | 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 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11137 a prime number?
No. 11137 = 7 × 37 × 43, so it is divisible by 7.
What are the factors of 11137?
1, 7, 37, 43, 259, 301, 1591, 11137.
What is 11137 in binary?
10101110000001 (hexadecimal 2B81, octal 25601).
What is the square root of 11137?
About 105.5320.
Is 11137 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 11137?
It is a composite number with 8 divisors.