The number 3750
3750 is a composite number with 20 divisors. Its prime factorisation is 2 × 3 × . Divisors (20): 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 625 … 3750.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3750: a Harshad number: divisible by its digit sum 15.
- 2
3750 is composite. Its prime factorisation is
- 3
The divisors add up to 9372; without 3750 itself that is 5622, so 3750 is abundant (5622 is more than 3750). Euler's totient φ(3750) = 1000 numbers up to 3750 share no factor with it.
- 4
The digits of 3750 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 175 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3750 = 2 \times 3 \times 5^{4} \]3750 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 9372 |
| Euler totient φ(n) | 1000 |
| Square | 14062500 |
| Cube | 52734375000 |
| Square root | 61.237244 (= 25√6) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 175 |
| Scientific notation | 3.75 × |
3750 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and fifty |
| Roman numerals | MMMDCCL |
| Binary (base 2) | 111010100110 |
| Octal (base 8) | 7246 |
| Hexadecimal (base 16) | EA6 |
| Base 3 | 12010220 |
| As time | 3750 seconds = 1 h 2 min 30 s |
Is 3750 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3750 ÷ 2 = 1875) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3750 ÷ 3 = 1250) | 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 (3750 ÷ 5 = 750) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (3750 ÷ 6 = 625) | 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 | No (remainder 6) | 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 | Yes (3750 ÷ 10 = 375) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 3750 a prime number?
No. 3750 = 2 × 3 × , so it is divisible by 2.
What are the factors of 3750?
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 625, 750, 1250, 1875, 3750.
What is 3750 in binary?
111010100110 (hexadecimal EA6, octal 7246).
What is the square root of 3750?
About 61.2372, exactly 25√6.
What is 3750 in Roman numerals?
MMMDCCL.
Is 3750 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 3750?
3750 is a Harshad number: divisible by its digit sum 15.