The number 73755
73755 is a composite number with 24 divisors. Its prime factorisation is × 5 × 11 × 149. Divisors (24): 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 149, 165, 447, 495, 745, 1341 … 73755.
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How to work it out
- 1
73755 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73755 is composite. Its prime factorisation is
- 3
The divisors add up to 140400; without 73755 itself that is 66645, so 73755 is deficient (66645 is less than 73755). Euler's totient φ(73755) = 35520 numbers up to 73755 share no factor with it.
- 4
The digits of 73755 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
\[ 73755 = 3^{2} \times 5 \times 11 \times 149 \]73755 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 140400 |
| Euler totient φ(n) | 35520 |
| Square | 5439800025 |
| Cube | 401212450843875 |
| Square root | 271.578718 (= 3√8195) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 293 |
| Scientific notation | 7.3755 × |
73755 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand seven hundred and fifty-five |
| Binary (base 2) | 10010000000011011 |
| Octal (base 8) | 220033 |
| Hexadecimal (base 16) | 1201B |
| Base 3 | 10202011200 |
| As time | 73755 seconds = 20 h 29 min 15 s |
Is 73755 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 (73755 ÷ 3 = 24585) | 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 (73755 ÷ 5 = 14751) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (73755 ÷ 9 = 8195) | 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 (73755 ÷ 11 = 6705) | 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 73755 a prime number?
No. 73755 = × 5 × 11 × 149, so it is divisible by 3.
What are the factors of 73755?
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 149, 165, 447, 495, 745, 1341, 1639, 2235, 4917, 6705, 8195, 14751, 24585, 73755.
What is 73755 in binary?
10010000000011011 (hexadecimal 1201B, octal 220033).
What is the square root of 73755?
About 271.5787, exactly 3√8195.
Is 73755 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 73755?
It is a composite number with 24 divisors.