The number 73775
73775 is a composite number with 12 divisors. Its prime factorisation is × 13 × 227. Divisors (12): 1, 5, 13, 25, 65, 227, 325, 1135, 2951, 5675, 14755, 73775.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73775 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73775 is composite. Its prime factorisation is
- 3
The divisors add up to 98952; without 73775 itself that is 25177, so 73775 is deficient (25177 is less than 73775). Euler's totient φ(73775) = 54240 numbers up to 73775 share no factor with it.
- 4
The digits of 73775 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73775 = 5^{2} \times 13 \times 227 \]73775 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 98952 |
| Euler totient φ(n) | 54240 |
| Square | 5442750625 |
| Cube | 401538927359375 |
| Square root | 271.615537 (= 5√2951) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.3775 × |
73775 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand seven hundred and seventy-five |
| Binary (base 2) | 10010000000101111 |
| Octal (base 8) | 220057 |
| Hexadecimal (base 16) | 1202F |
| Base 3 | 10202012102 |
| As time | 73775 seconds = 20 h 29 min 35 s |
Is 73775 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 (73775 ÷ 5 = 14755) | 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 | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 9) | 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 73775 a prime number?
No. 73775 = × 13 × 227, so it is divisible by 5.
What are the factors of 73775?
1, 5, 13, 25, 65, 227, 325, 1135, 2951, 5675, 14755, 73775.
What is 73775 in binary?
10010000000101111 (hexadecimal 1202F, octal 220057).
What is the square root of 73775?
About 271.6155, exactly 5√2951.
Is 73775 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 73775?
It is a composite number with 12 divisors.