The number 18738
18738 is a composite number with 16 divisors. Its prime factorisation is 2 × × 347. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 347, 694, 1041, 2082, 3123, 6246, 9369, 18738.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18738: a Harshad number: divisible by its digit sum 27.
- 2
18738 is composite. Its prime factorisation is
- 3
The divisors add up to 41760; without 18738 itself that is 23022, so 18738 is abundant (23022 is more than 18738). Euler's totient φ(18738) = 6228 numbers up to 18738 share no factor with it.
- 4
The digits of 18738 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 61 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18738 = 2 \times 3^{3} \times 347 \]18738 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 41760 |
| Euler totient φ(n) | 6228 |
| Square | 351112644 |
| Cube | 6579148723272 |
| Square root | 136.886815 (= 3√2082) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 61 |
| Scientific notation | 1.8738 × |
18738 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand seven hundred and thirty-eight |
| Binary (base 2) | 100100100110010 |
| Octal (base 8) | 44462 |
| Hexadecimal (base 16) | 4932 |
| Base 3 | 221201000 |
| As time | 18738 seconds = 5 h 12 min 18 s |
Is 18738 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18738 ÷ 2 = 9369) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18738 ÷ 3 = 6246) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (18738 ÷ 6 = 3123) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (18738 ÷ 9 = 2082) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18738 a prime number?
No. 18738 = 2 × × 347, so it is divisible by 2.
What are the factors of 18738?
1, 2, 3, 6, 9, 18, 27, 54, 347, 694, 1041, 2082, 3123, 6246, 9369, 18738.
What is 18738 in binary?
100100100110010 (hexadecimal 4932, octal 44462).
What is the square root of 18738?
About 136.8868, exactly 3√2082.
Is 18738 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 18738?
18738 is a Harshad number: divisible by its digit sum 27.