The number 74375
74375 is a composite number with 20 divisors. Its prime factorisation is × 7 × 17. Divisors (20): 1, 5, 7, 17, 25, 35, 85, 119, 125, 175, 425, 595, 625, 875, 2125, 2975 … 74375.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
74375 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
74375 is composite. Its prime factorisation is
- 3
The divisors add up to 112464; without 74375 itself that is 38089, so 74375 is deficient (38089 is less than 74375). Euler's totient φ(74375) = 48000 numbers up to 74375 share no factor with it.
- 4
The digits of 74375 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74375 = 5^{4} \times 7 \times 17 \]74375 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 112464 |
| Euler totient φ(n) | 48000 |
| Square | 5531640625 |
| Cube | 411415771484375 |
| Square root | 272.717803 (= 25√119) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.4375 × |
74375 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand three hundred and seventy-five |
| Binary (base 2) | 10010001010000111 |
| Octal (base 8) | 221207 |
| Hexadecimal (base 16) | 12287 |
| Base 3 | 10210000122 |
| As time | 74375 seconds = 20 h 39 min 35 s |
Is 74375 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 | No (remainder 2) | 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 (74375 ÷ 5 = 14875) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (74375 ÷ 7 = 10625) | 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 | No (remainder 8) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74375 a prime number?
No. 74375 = × 7 × 17, so it is divisible by 5.
What are the factors of 74375?
1, 5, 7, 17, 25, 35, 85, 119, 125, 175, 425, 595, 625, 875, 2125, 2975, 4375, 10625, 14875, 74375.
What is 74375 in binary?
10010001010000111 (hexadecimal 12287, octal 221207).
What is the square root of 74375?
About 272.7178, exactly 25√119.
Is 74375 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 74375?
It is a composite number with 20 divisors.