The number 8137
8137 is a composite number with 4 divisors. Its prime factorisation is 79 × 103. Divisors (4): 1, 79, 103, 8137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8137: a semiprime: 79 × 103, the product of two primes.
- 2
8137 is composite. Its prime factorisation is
- 3
The divisors add up to 8320; without 8137 itself that is 183, so 8137 is deficient (183 is less than 8137). Euler's totient φ(8137) = 7956 numbers up to 8137 share no factor with it.
- 4
The digits of 8137 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8137 = 79 \times 103 \]
8137 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 8320 |
| Euler totient φ(n) | 7956 |
| Square | 66210769 |
| Cube | 538757027353 |
| Square root | 90.205321 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 158 |
| Scientific notation | 8.137 × |
8137 in other forms
| Form | Value |
|---|---|
| In words | eight thousand one hundred and thirty-seven |
| Binary (base 2) | 1111111001001 |
| Octal (base 8) | 17711 |
| Hexadecimal (base 16) | 1FC9 |
| Base 3 | 102011101 |
| As time | 8137 seconds = 2 h 15 min 37 s |
Is 8137 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 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 1) | 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 8) | 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 8137 a prime number?
No. 8137 = 79 × 103, so it is divisible by 79.
What are the factors of 8137?
1, 79, 103, 8137.
What is 8137 in binary?
1111111001001 (hexadecimal 1FC9, octal 17711).
What is the square root of 8137?
About 90.2053.
Is 8137 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 8137?
8137 is a semiprime: 79 × 103, the product of two primes.