The number 73760
73760 is a composite number with 24 divisors. Its prime factorisation is × 5 × 461. Divisors (24): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 461, 922, 1844, 2305 … 73760.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73760 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73760 is composite. Its prime factorisation is
- 3
The divisors add up to 174636; without 73760 itself that is 100876, so 73760 is abundant (100876 is more than 73760). Euler's totient φ(73760) = 29440 numbers up to 73760 share no factor with it.
- 4
The digits of 73760 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73760 = 2^{5} \times 5 \times 461 \]73760 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 174636 |
| Euler totient φ(n) | 29440 |
| Square | 5440537600 |
| Cube | 401294053376000 |
| Square root | 271.587923 (= 4√4610) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 112 |
| Scientific notation | 7.376 × |
73760 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand seven hundred and sixty |
| Binary (base 2) | 10010000000100000 |
| Octal (base 8) | 220040 |
| Hexadecimal (base 16) | 12020 |
| Base 3 | 10202011212 |
| As time | 73760 seconds = 20 h 29 min 20 s |
Is 73760 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73760 ÷ 2 = 36880) | 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 | Yes (73760 ÷ 4 = 18440) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (73760 ÷ 5 = 14752) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (73760 ÷ 8 = 9220) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (73760 ÷ 10 = 7376) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73760 a prime number?
No. 73760 = × 5 × 461, so it is divisible by 2.
What are the factors of 73760?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 461, 922, 1844, 2305, 3688, 4610, 7376, 9220, 14752, 18440, 36880, 73760.
What is 73760 in binary?
10010000000100000 (hexadecimal 12020, octal 220040).
What is the square root of 73760?
About 271.5879, exactly 4√4610.
Is 73760 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 73760?
It is a composite number with 24 divisors.