The number 18750
18750 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × . Divisors (24): 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 625 … 18750.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18750: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
18750 is composite. Its prime factorisation is
- 3
The divisors add up to 46872; without 18750 itself that is 28122, so 18750 is abundant (28122 is more than 18750). Euler's totient φ(18750) = 5000 numbers up to 18750 share no factor with it.
- 4
The digits of 18750 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18750 = 2 \times 3 \times 5^{5} \]18750 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 46872 |
| Euler totient φ(n) | 5000 |
| Square | 351562500 |
| Cube | 6591796875000 |
| Square root | 136.930639 (= 25√30) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 48 |
| Scientific notation | 1.875 × |
18750 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand seven hundred and fifty |
| Binary (base 2) | 100100100111110 |
| Octal (base 8) | 44476 |
| Hexadecimal (base 16) | 493E |
| Base 3 | 221201110 |
| As time | 18750 seconds = 5 h 12 min 30 s |
Is 18750 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18750 ÷ 2 = 9375) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18750 ÷ 3 = 6250) | 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 | Yes (18750 ÷ 5 = 3750) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (18750 ÷ 6 = 3125) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (18750 ÷ 10 = 1875) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 18750 a prime number?
No. 18750 = 2 × 3 × , so it is divisible by 2.
What are the factors of 18750?
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 625, 750, 1250, 1875, 3125, 3750, 6250, 9375, 18750.
What is 18750 in binary?
100100100111110 (hexadecimal 493E, octal 44476).
What is the square root of 18750?
About 136.9306, exactly 25√30.
Is 18750 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 18750?
18750 is a happy number: repeatedly adding the squares of its digits reaches 1.