The number 18744
18744 is a composite number with 32 divisors. Its prime factorisation is × 3 × 11 × 71. Divisors (32): 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 71, 88, 132 … 18744.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18744: a Harshad number: divisible by its digit sum 24.
- 2
18744 is composite. Its prime factorisation is
- 3
The divisors add up to 51840; without 18744 itself that is 33096, so 18744 is abundant (33096 is more than 18744). Euler's totient φ(18744) = 5600 numbers up to 18744 share no factor with it.
- 4
The digits of 18744 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 154 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18744 = 2^{3} \times 3 \times 11 \times 71 \]18744 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 51840 |
| Euler totient φ(n) | 5600 |
| Square | 351337536 |
| Cube | 6585470774784 |
| Square root | 136.908729 (= 2√4686) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 154 |
| Scientific notation | 1.8744 × |
18744 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand seven hundred and forty-four |
| Binary (base 2) | 100100100111000 |
| Octal (base 8) | 44470 |
| Hexadecimal (base 16) | 4938 |
| Base 3 | 221201020 |
| As time | 18744 seconds = 5 h 12 min 24 s |
Is 18744 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18744 ÷ 2 = 9372) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18744 ÷ 3 = 6248) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (18744 ÷ 4 = 4686) | 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 | Yes (18744 ÷ 6 = 3124) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (18744 ÷ 8 = 2343) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | Yes (18744 ÷ 11 = 1704) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (18744 ÷ 12 = 1562) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18744 a prime number?
No. 18744 = × 3 × 11 × 71, so it is divisible by 2.
What are the factors of 18744?
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 71, 88, 132, 142, 213, 264, 284, 426, 568, 781, 852, 1562, 1704, 2343, 3124, 4686, 6248, 9372, 18744.
What is 18744 in binary?
100100100111000 (hexadecimal 4938, octal 44470).
What is the square root of 18744?
About 136.9087, exactly 2√4686.
Is 18744 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 18744?
18744 is a Harshad number: divisible by its digit sum 24.