The number 6137
6137 is a composite number with 6 divisors. Its prime factorisation is 17 Ć . Divisors (6): 1, 17, 19, 323, 361, 6137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6137: a Harshad number: divisible by its digit sum 17.
- 2
6137 is composite. Its prime factorisation is
- 3
The divisors add up to 6858; without 6137 itself that is 721, so 6137 is deficient (721 is less than 6137). Euler's totient Ļ(6137) = 5472 numbers up to 6137 share no factor with it.
- 4
The digits of 6137 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 124 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6137 = 17 \times 19^{2} \]6137 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 6858 |
| Euler totient Ļ(n) | 5472 |
| Square | 37662769 |
| Cube | 231136413353 |
| Square root | 78.339007 (= 19ā17) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 124 |
| Scientific notation | 6.137 Ć |
6137 in other forms
| Form | Value |
|---|---|
| In words | six thousand one hundred and thirty-seven |
| Binary (base 2) | 1011111111001 |
| Octal (base 8) | 13771 |
| Hexadecimal (base 16) | 17F9 |
| Base 3 | 22102022 |
| As time | 6137 seconds = 1 h 42 min 17 s |
Is 6137 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 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 | No (remainder 5) | 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 8) | 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 10) | 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 6137 a prime number?
No. 6137 = 17 Ć , so it is divisible by 17.
What are the factors of 6137?
1, 17, 19, 323, 361, 6137.
What is 6137 in binary?
1011111111001 (hexadecimal 17F9, octal 13771).
What is the square root of 6137?
About 78.3390, exactly 19ā17.
Is 6137 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 6137?
6137 is a Harshad number: divisible by its digit sum 17.