The number 73432
73432 is a composite number with 16 divisors. Its prime factorisation is × 67 × 137. Divisors (16): 1, 2, 4, 8, 67, 134, 137, 268, 274, 536, 548, 1096, 9179, 18358, 36716, 73432.
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How to work it out
- 1
73432 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73432 is composite. Its prime factorisation is
- 3
The divisors add up to 140760; without 73432 itself that is 67328, so 73432 is deficient (67328 is less than 73432). Euler's totient φ(73432) = 35904 numbers up to 73432 share no factor with it.
- 4
The digits of 73432 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73432 = 2^{3} \times 67 \times 137 \]73432 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 140760 |
| Euler totient φ(n) | 35904 |
| Square | 5392258624 |
| Cube | 395964335277568 |
| Square root | 270.983394 (= 2√18358) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.3432 × |
73432 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand four hundred and thirty-two |
| Binary (base 2) | 10001111011011000 |
| Octal (base 8) | 217330 |
| Hexadecimal (base 16) | 11ED8 |
| Base 3 | 10201201201 |
| As time | 73432 seconds = 20 h 23 min 52 s |
Is 73432 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73432 ÷ 2 = 36716) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (73432 ÷ 4 = 18358) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 (73432 ÷ 8 = 9179) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73432 a prime number?
No. 73432 = × 67 × 137, so it is divisible by 2.
What are the factors of 73432?
1, 2, 4, 8, 67, 134, 137, 268, 274, 536, 548, 1096, 9179, 18358, 36716, 73432.
What is 73432 in binary?
10001111011011000 (hexadecimal 11ED8, octal 217330).
What is the square root of 73432?
About 270.9834, exactly 2√18358.
Is 73432 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 73432?
It is a composite number with 16 divisors.