The number 73424
73424 is a composite number with 20 divisors. Its prime factorisation is × 13 × 353. Divisors (20): 1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 353, 706, 1412, 2824, 4589, 5648 … 73424.
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How to work it out
- 1
What is special about 73424: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
73424 is composite. Its prime factorisation is
- 3
The divisors add up to 153636; without 73424 itself that is 80212, so 73424 is abundant (80212 is more than 73424). Euler's totient φ(73424) = 33792 numbers up to 73424 share no factor with it.
- 4
The digits of 73424 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73424 = 2^{4} \times 13 \times 353 \]73424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 153636 |
| Euler totient φ(n) | 33792 |
| Square | 5391083776 |
| Cube | 395834935169024 |
| Square root | 270.968633 (= 4√4589) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.3424 × |
73424 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand four hundred and twenty-four |
| Binary (base 2) | 10001111011010000 |
| Octal (base 8) | 217320 |
| Hexadecimal (base 16) | 11ED0 |
| Base 3 | 10201201102 |
| As time | 73424 seconds = 20 h 23 min 44 s |
Is 73424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73424 ÷ 2 = 36712) | 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 (73424 ÷ 4 = 18356) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 (73424 ÷ 8 = 9178) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 73424 a prime number?
No. 73424 = × 13 × 353, so it is divisible by 2.
What are the factors of 73424?
1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 353, 706, 1412, 2824, 4589, 5648, 9178, 18356, 36712, 73424.
What is 73424 in binary?
10001111011010000 (hexadecimal 11ED0, octal 217320).
What is the square root of 73424?
About 270.9686, exactly 4√4589.
Is 73424 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 73424?
73424 is a happy number: repeatedly adding the squares of its digits reaches 1.