The number 18704
18704 is a composite number with 20 divisors. Its prime factorisation is × 7 × 167. Divisors (20): 1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 167, 334, 668, 1169, 1336, 2338 … 18704.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18704: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
18704 is composite. Its prime factorisation is
- 3
The divisors add up to 41664; without 18704 itself that is 22960, so 18704 is abundant (22960 is more than 18704). Euler's totient φ(18704) = 7968 numbers up to 18704 share no factor with it.
- 4
The digits of 18704 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 61 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18704 = 2^{4} \times 7 \times 167 \]18704 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 41664 |
| Euler totient φ(n) | 7968 |
| Square | 349839616 |
| Cube | 6543400177664 |
| Square root | 136.762568 (= 4√1169) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 61 |
| Scientific notation | 1.8704 × |
18704 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand seven hundred and four |
| Binary (base 2) | 100100100010000 |
| Octal (base 8) | 44420 |
| Hexadecimal (base 16) | 4910 |
| Base 3 | 221122202 |
| As time | 18704 seconds = 5 h 11 min 44 s |
Is 18704 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18704 ÷ 2 = 9352) | 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 | Yes (18704 ÷ 4 = 4676) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (18704 ÷ 7 = 2672) | 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 | Yes (18704 ÷ 8 = 2338) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18704 a prime number?
No. 18704 = × 7 × 167, so it is divisible by 2.
What are the factors of 18704?
1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 167, 334, 668, 1169, 1336, 2338, 2672, 4676, 9352, 18704.
What is 18704 in binary?
100100100010000 (hexadecimal 4910, octal 44420).
What is the square root of 18704?
About 136.7626, exactly 4√1169.
Is 18704 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 18704?
18704 is a happy number: repeatedly adding the squares of its digits reaches 1.