The number 74175
74175 is a composite number with 24 divisors. Its prime factorisation is 3 × × 23 × 43. Divisors (24): 1, 3, 5, 15, 23, 25, 43, 69, 75, 115, 129, 215, 345, 575, 645, 989 … 74175.
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How to work it out
- 1
74175 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
74175 is composite. Its prime factorisation is
- 3
The divisors add up to 130944; without 74175 itself that is 56769, so 74175 is deficient (56769 is less than 74175). Euler's totient φ(74175) = 36960 numbers up to 74175 share no factor with it.
- 4
The digits of 74175 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74175 = 3 \times 5^{2} \times 23 \times 43 \]74175 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 130944 |
| Euler totient φ(n) | 36960 |
| Square | 5501930625 |
| Cube | 408105704109375 |
| Square root | 272.350877 (= 5√2967) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.4175 × |
74175 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand one hundred and seventy-five |
| Binary (base 2) | 10010000110111111 |
| Octal (base 8) | 220677 |
| Hexadecimal (base 16) | 121BF |
| Base 3 | 10202202020 |
| As time | 74175 seconds = 20 h 36 min 15 s |
Is 74175 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 (74175 ÷ 3 = 24725) | 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 (74175 ÷ 5 = 14835) | 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 3) | 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 6) | 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 2) | 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 74175 a prime number?
No. 74175 = 3 × × 23 × 43, so it is divisible by 3.
What are the factors of 74175?
1, 3, 5, 15, 23, 25, 43, 69, 75, 115, 129, 215, 345, 575, 645, 989, 1075, 1725, 2967, 3225, 4945, 14835, 24725, 74175.
What is 74175 in binary?
10010000110111111 (hexadecimal 121BF, octal 220677).
What is the square root of 74175?
About 272.3509, exactly 5√2967.
Is 74175 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 74175?
It is a composite number with 24 divisors.