The number 74745
74745 is a composite number with 24 divisors. Its prime factorisation is × 5 × 11 × 151. Divisors (24): 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 151, 165, 453, 495, 755, 1359 … 74745.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
74745 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
74745 is composite. Its prime factorisation is
- 3
The divisors add up to 142272; without 74745 itself that is 67527, so 74745 is deficient (67527 is less than 74745). Euler's totient φ(74745) = 36000 numbers up to 74745 share no factor with it.
- 4
The digits of 74745 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 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74745 = 3^{2} \times 5 \times 11 \times 151 \]74745 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 142272 |
| Euler totient φ(n) | 36000 |
| Square | 5586815025 |
| Cube | 417586489043625 |
| Square root | 273.395318 (= 3√8305) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.4745 × |
74745 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand seven hundred and forty-five |
| Binary (base 2) | 10010001111111001 |
| Octal (base 8) | 221771 |
| Hexadecimal (base 16) | 123F9 |
| Base 3 | 10210112100 |
| As time | 74745 seconds = 20 h 45 min 45 s |
Is 74745 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 (74745 ÷ 3 = 24915) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (74745 ÷ 5 = 14949) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (74745 ÷ 9 = 8305) | 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 | Yes (74745 ÷ 11 = 6795) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74745 a prime number?
No. 74745 = × 5 × 11 × 151, so it is divisible by 3.
What are the factors of 74745?
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 151, 165, 453, 495, 755, 1359, 1661, 2265, 4983, 6795, 8305, 14949, 24915, 74745.
What is 74745 in binary?
10010001111111001 (hexadecimal 123F9, octal 221771).
What is the square root of 74745?
About 273.3953, exactly 3√8305.
Is 74745 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 74745?
It is a composite number with 24 divisors.