The number 74475
74475 is a composite number with 18 divisors. Its prime factorisation is × × 331. Divisors (18): 1, 3, 5, 9, 15, 25, 45, 75, 225, 331, 993, 1655, 2979, 4965, 8275, 14895 … 74475.
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How to work it out
- 1
74475 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
74475 is composite. Its prime factorisation is
- 3
The divisors add up to 133796; without 74475 itself that is 59321, so 74475 is deficient (59321 is less than 74475). Euler's totient φ(74475) = 39600 numbers up to 74475 share no factor with it.
- 4
The digits of 74475 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 293 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74475 = 3^{2} \times 5^{2} \times 331 \]74475 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 133796 |
| Euler totient φ(n) | 39600 |
| Square | 5546525625 |
| Cube | 413077495921875 |
| Square root | 272.901081 (= 15√331) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 293 |
| Scientific notation | 7.4475 × |
74475 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand four hundred and seventy-five |
| Binary (base 2) | 10010001011101011 |
| Octal (base 8) | 221353 |
| Hexadecimal (base 16) | 122EB |
| Base 3 | 10210011100 |
| As time | 74475 seconds = 20 h 41 min 15 s |
Is 74475 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 (74475 ÷ 3 = 24825) | 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 (74475 ÷ 5 = 14895) | 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 2) | 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 | Yes (74475 ÷ 9 = 8275) | 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 5) | 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 74475 a prime number?
No. 74475 = × × 331, so it is divisible by 3.
What are the factors of 74475?
1, 3, 5, 9, 15, 25, 45, 75, 225, 331, 993, 1655, 2979, 4965, 8275, 14895, 24825, 74475.
What is 74475 in binary?
10010001011101011 (hexadecimal 122EB, octal 221353).
What is the square root of 74475?
About 272.9011, exactly 15√331.
Is 74475 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 74475?
It is a composite number with 18 divisors.