The number 73488
73488 is a composite number with 20 divisors. Its prime factorisation is × 3 × 1531. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1531, 3062, 4593, 6124, 9186, 12248 … 73488.
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How to work it out
- 1
73488 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73488 is composite. Its prime factorisation is
- 3
The divisors add up to 189968; without 73488 itself that is 116480, so 73488 is abundant (116480 is more than 73488). Euler's totient φ(73488) = 24480 numbers up to 73488 share no factor with it.
- 4
The digits of 73488 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73488 = 2^{4} \times 3 \times 1531 \]73488 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 189968 |
| Euler totient φ(n) | 24480 |
| Square | 5400486144 |
| Cube | 396870925750272 |
| Square root | 271.086702 (= 4√4593) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 112 |
| Scientific notation | 7.3488 × |
73488 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand four hundred and eighty-eight |
| Binary (base 2) | 10001111100010000 |
| Octal (base 8) | 217420 |
| Hexadecimal (base 16) | 11F10 |
| Base 3 | 10201210210 |
| As time | 73488 seconds = 20 h 24 min 48 s |
Is 73488 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73488 ÷ 2 = 36744) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (73488 ÷ 3 = 24496) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (73488 ÷ 4 = 18372) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (73488 ÷ 6 = 12248) | 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 | Yes (73488 ÷ 8 = 9186) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (73488 ÷ 12 = 6124) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73488 a prime number?
No. 73488 = × 3 × 1531, so it is divisible by 2.
What are the factors of 73488?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1531, 3062, 4593, 6124, 9186, 12248, 18372, 24496, 36744, 73488.
What is 73488 in binary?
10001111100010000 (hexadecimal 11F10, octal 217420).
What is the square root of 73488?
About 271.0867, exactly 4√4593.
Is 73488 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 73488?
It is a composite number with 20 divisors.