The number 73745
73745 is a composite number with 16 divisors. Its prime factorisation is 5 × × 43. Divisors (16): 1, 5, 7, 35, 43, 49, 215, 245, 301, 343, 1505, 1715, 2107, 10535, 14749, 73745.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73745 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73745 is composite. Its prime factorisation is
- 3
The divisors add up to 105600; without 73745 itself that is 31855, so 73745 is deficient (31855 is less than 73745). Euler's totient φ(73745) = 49392 numbers up to 73745 share no factor with it.
- 4
The digits of 73745 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73745 = 5 \times 7^{3} \times 43 \]73745 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 105600 |
| Euler totient φ(n) | 49392 |
| Square | 5438325025 |
| Cube | 401049278968625 |
| Square root | 271.560306 (= 7√1505) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.3745 × |
73745 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand seven hundred and forty-five |
| Binary (base 2) | 10010000000010001 |
| Octal (base 8) | 220021 |
| Hexadecimal (base 16) | 12011 |
| Base 3 | 10202011022 |
| As time | 73745 seconds = 20 h 29 min 5 s |
Is 73745 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (73745 ÷ 5 = 14749) | 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 | Yes (73745 ÷ 7 = 10535) | 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 | No (remainder 8) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73745 a prime number?
No. 73745 = 5 × × 43, so it is divisible by 5.
What are the factors of 73745?
1, 5, 7, 35, 43, 49, 215, 245, 301, 343, 1505, 1715, 2107, 10535, 14749, 73745.
What is 73745 in binary?
10010000000010001 (hexadecimal 12011, octal 220021).
What is the square root of 73745?
About 271.5603, exactly 7√1505.
Is 73745 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 73745?
It is a composite number with 16 divisors.