The number 18007
18007 is a composite number with 4 divisors. Its prime factorisation is 11 × 1637. Divisors (4): 1, 11, 1637, 18007.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18007: a semiprime: 11 × 1637, the product of two primes.
- 2
18007 is composite. Its prime factorisation is
- 3
The divisors add up to 19656; without 18007 itself that is 1649, so 18007 is deficient (1649 is less than 18007). Euler's totient φ(18007) = 16360 numbers up to 18007 share no factor with it.
- 4
The digits of 18007 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 79 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18007 = 11 \times 1637 \]
18007 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 19656 |
| Euler totient φ(n) | 16360 |
| Square | 324252049 |
| Cube | 5838806646343 |
| Square root | 134.190164 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 79 |
| Scientific notation | 1.8007 × |
18007 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand and seven |
| Binary (base 2) | 100011001010111 |
| Octal (base 8) | 43127 |
| Hexadecimal (base 16) | 4657 |
| Base 3 | 220200221 |
| As time | 18007 seconds = 5 h 0 min 7 s |
Is 18007 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 3) | 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 7) | 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 (18007 ÷ 11 = 1637) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18007 a prime number?
No. 18007 = 11 × 1637, so it is divisible by 11.
What are the factors of 18007?
1, 11, 1637, 18007.
What is 18007 in binary?
100011001010111 (hexadecimal 4657, octal 43127).
What is the square root of 18007?
About 134.1902.
Is 18007 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 18007?
18007 is a semiprime: 11 × 1637, the product of two primes.