The number 75
75 is a composite number with 6 divisors. Its prime factorisation is 3 × . Divisors (6): 1, 3, 5, 15, 25, 75.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
75 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
75 is composite. Its prime factorisation is
- 3
The divisors add up to 124; without 75 itself that is 49, so 75 is deficient (49 is less than 75). Euler's totient φ(75) = 40 numbers up to 75 share no factor with it.
- 4
The digits of 75 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 14 steps to reach 1.
LaTeX source of the formulas on this page
\[ 75 = 3 \times 5^{2} \]75 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 124 |
| Euler totient φ(n) | 40 |
| Square | 5625 |
| Cube | 421875 |
| Square root | 8.660254 (= 5√3) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 14 |
| Scientific notation | 7.5 × |
75 in other forms
| Form | Value |
|---|---|
| In words | seventy-five |
| Roman numerals | LXXV |
| Binary (base 2) | 1001011 |
| Octal (base 8) | 113 |
| Hexadecimal (base 16) | 4B |
| Base 3 | 2210 |
| As time | 75 seconds = 1 min 15 s |
Is 75 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (75 ÷ 3 = 25) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (75 ÷ 5 = 15) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 3) | 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 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 75 a prime number?
No. 75 = 3 × , so it is divisible by 3.
What are the factors of 75?
1, 3, 5, 15, 25, 75.
What is 75 in binary?
1001011 (hexadecimal 4B, octal 113).
What is the square root of 75?
About 8.6603, exactly 5√3.
What is 75 in Roman numerals?
LXXV.
Is 75 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 75?
It is a composite number with 6 divisors.