The number 18137
18137 is a composite number with 4 divisors. Its prime factorisation is 7 × 2591. Divisors (4): 1, 7, 2591, 18137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18137: a semiprime: 7 × 2591, the product of two primes.
- 2
18137 is composite. Its prime factorisation is
- 3
The divisors add up to 20736; without 18137 itself that is 2599, so 18137 is deficient (2599 is less than 18137). Euler's totient φ(18137) = 15540 numbers up to 18137 share no factor with it.
- 4
The digits of 18137 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 92 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18137 = 7 \times 2591 \]
18137 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 20736 |
| Euler totient φ(n) | 15540 |
| Square | 328950769 |
| Cube | 5966180097353 |
| Square root | 134.673680 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 92 |
| Scientific notation | 1.8137 × |
18137 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand one hundred and thirty-seven |
| Binary (base 2) | 100011011011001 |
| Octal (base 8) | 43331 |
| Hexadecimal (base 16) | 46D9 |
| Base 3 | 220212202 |
| As time | 18137 seconds = 5 h 2 min 17 s |
Is 18137 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 | Yes (18137 ÷ 7 = 2591) | 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 2) | 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 9) | 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 18137 a prime number?
No. 18137 = 7 × 2591, so it is divisible by 7.
What are the factors of 18137?
1, 7, 2591, 18137.
What is 18137 in binary?
100011011011001 (hexadecimal 46D9, octal 43331).
What is the square root of 18137?
About 134.6737.
Is 18137 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 18137?
18137 is a semiprime: 7 × 2591, the product of two primes.