The number 75375
75375 is a composite number with 24 divisors. Its prime factorisation is × × 67. Divisors (24): 1, 3, 5, 9, 15, 25, 45, 67, 75, 125, 201, 225, 335, 375, 603, 1005 … 75375.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
75375 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
75375 is composite. Its prime factorisation is
- 3
The divisors add up to 137904; without 75375 itself that is 62529, so 75375 is deficient (62529 is less than 75375). Euler's totient φ(75375) = 39600 numbers up to 75375 share no factor with it.
- 4
The digits of 75375 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 75375 = 3^{2} \times 5^{3} \times 67 \]75375 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 137904 |
| Euler totient φ(n) | 39600 |
| Square | 5681390625 |
| Cube | 428234818359375 |
| Square root | 274.545078 (= 15√335) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.5375 × |
75375 in other forms
| Form | Value |
|---|---|
| In words | seventy-five thousand three hundred and seventy-five |
| Binary (base 2) | 10010011001101111 |
| Octal (base 8) | 223157 |
| Hexadecimal (base 16) | 1266F |
| Base 3 | 10211101200 |
| As time | 75375 seconds = 20 h 56 min 15 s |
Is 75375 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 (75375 ÷ 3 = 25125) | 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 (75375 ÷ 5 = 15075) | 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 6) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (75375 ÷ 9 = 8375) | 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 3) | 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 75375 a prime number?
No. 75375 = × × 67, so it is divisible by 3.
What are the factors of 75375?
1, 3, 5, 9, 15, 25, 45, 67, 75, 125, 201, 225, 335, 375, 603, 1005, 1125, 1675, 3015, 5025, 8375, 15075, 25125, 75375.
What is 75375 in binary?
10010011001101111 (hexadecimal 1266F, octal 223157).
What is the square root of 75375?
About 274.5451, exactly 15√335.
Is 75375 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 75375?
It is a composite number with 24 divisors.