The number 73428
73428 is a composite number with 24 divisors. Its prime factorisation is × 3 × 29 × 211. Divisors (24): 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 211, 348, 422, 633, 844 … 73428.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73428 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73428 is composite. Its prime factorisation is
- 3
The divisors add up to 178080; without 73428 itself that is 104652, so 73428 is abundant (104652 is more than 73428). Euler's totient φ(73428) = 23520 numbers up to 73428 share no factor with it.
- 4
The digits of 73428 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73428 = 2^{2} \times 3 \times 29 \times 211 \]73428 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 178080 |
| Euler totient φ(n) | 23520 |
| Square | 5391671184 |
| Cube | 395899631698752 |
| Square root | 270.976014 (= 2√18357) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.3428 × |
73428 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand four hundred and twenty-eight |
| Binary (base 2) | 10001111011010100 |
| Octal (base 8) | 217324 |
| Hexadecimal (base 16) | 11ED4 |
| Base 3 | 10201201120 |
| As time | 73428 seconds = 20 h 23 min 48 s |
Is 73428 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73428 ÷ 2 = 36714) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (73428 ÷ 3 = 24476) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (73428 ÷ 4 = 18357) | 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 (73428 ÷ 6 = 12238) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (73428 ÷ 12 = 6119) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73428 a prime number?
No. 73428 = × 3 × 29 × 211, so it is divisible by 2.
What are the factors of 73428?
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 211, 348, 422, 633, 844, 1266, 2532, 6119, 12238, 18357, 24476, 36714, 73428.
What is 73428 in binary?
10001111011010100 (hexadecimal 11ED4, octal 217324).
What is the square root of 73428?
About 270.9760, exactly 2√18357.
Is 73428 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 73428?
It is a composite number with 24 divisors.