The number 750
750 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × . Divisors (16): 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
750 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
750 is composite. Its prime factorisation is
- 3
The divisors add up to 1872; without 750 itself that is 1122, so 750 is abundant (1122 is more than 750). Euler's totient φ(750) = 200 numbers up to 750 share no factor with it.
- 4
The digits of 750 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 750 = 2 \times 3 \times 5^{3} \]750 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 1872 |
| Euler totient φ(n) | 200 |
| Square | 562500 |
| Cube | 421875000 |
| Square root | 27.386128 (= 5√30) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 46 |
| Scientific notation | 7.5 × |
750 in other forms
| Form | Value |
|---|---|
| In words | seven hundred and fifty |
| Roman numerals | DCCL |
| Binary (base 2) | 1011101110 |
| Octal (base 8) | 1356 |
| Hexadecimal (base 16) | 2EE |
| Base 3 | 1000210 |
| As time | 750 seconds = 12 min 30 s |
Is 750 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (750 ÷ 2 = 375) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (750 ÷ 3 = 250) | 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 (750 ÷ 5 = 150) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (750 ÷ 6 = 125) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (750 ÷ 10 = 75) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 750 a prime number?
No. 750 = 2 × 3 × , so it is divisible by 2.
What are the factors of 750?
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750.
What is 750 in binary?
1011101110 (hexadecimal 2EE, octal 1356).
What is the square root of 750?
About 27.3861, exactly 5√30.
What is 750 in Roman numerals?
DCCL.
Is 750 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 750?
It is a composite number with 16 divisors.