The number 5137
5137 is a composite number with 4 divisors. Its prime factorisation is 11 × 467. Divisors (4): 1, 11, 467, 5137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5137: a semiprime: 11 × 467, the product of two primes.
- 2
5137 is composite. Its prime factorisation is
- 3
The divisors add up to 5616; without 5137 itself that is 479, so 5137 is deficient (479 is less than 5137). Euler's totient φ(5137) = 4660 numbers up to 5137 share no factor with it.
- 4
The digits of 5137 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5137 = 11 \times 467 \]
5137 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 5616 |
| Euler totient φ(n) | 4660 |
| Square | 26388769 |
| Cube | 135559106353 |
| Square root | 71.672868 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 54 |
| Scientific notation | 5.137 × |
5137 in other forms
| Form | Value |
|---|---|
| In words | five thousand one hundred and thirty-seven |
| Binary (base 2) | 1010000010001 |
| Octal (base 8) | 12021 |
| Hexadecimal (base 16) | 1411 |
| Base 3 | 21001021 |
| As time | 5137 seconds = 1 h 25 min 37 s |
Is 5137 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 | No (remainder 6) | 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 7) | 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 | Yes (5137 ÷ 11 = 467) | 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 5137 a prime number?
No. 5137 = 11 × 467, so it is divisible by 11.
What are the factors of 5137?
1, 11, 467, 5137.
What is 5137 in binary?
1010000010001 (hexadecimal 1411, octal 12021).
What is the square root of 5137?
About 71.6729.
Is 5137 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 5137?
5137 is a semiprime: 11 × 467, the product of two primes.