The number 73684
73684 is a composite number with 18 divisors. Its prime factorisation is × × 109. Divisors (18): 1, 2, 4, 13, 26, 52, 109, 169, 218, 338, 436, 676, 1417, 2834, 5668, 18421 … 73684.
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How to work it out
- 1
73684 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73684 is composite. Its prime factorisation is
- 3
The divisors add up to 140910; without 73684 itself that is 67226, so 73684 is deficient (67226 is less than 73684). Euler's totient φ(73684) = 33696 numbers up to 73684 share no factor with it.
- 4
The digits of 73684 add up to 28, 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
\[ 73684 = 2^{2} \times 13^{2} \times 109 \]73684 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 140910 |
| Euler totient φ(n) | 33696 |
| Square | 5429331856 |
| Cube | 400054888477504 |
| Square root | 271.447969 (= 26√109) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.3684 × |
73684 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand six hundred and eighty-four |
| Binary (base 2) | 10001111111010100 |
| Octal (base 8) | 217724 |
| Hexadecimal (base 16) | 11FD4 |
| Base 3 | 10202002001 |
| As time | 73684 seconds = 20 h 28 min 4 s |
Is 73684 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73684 ÷ 2 = 36842) | 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 (73684 ÷ 4 = 18421) | 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 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 | No (remainder 4) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 73684 a prime number?
No. 73684 = × × 109, so it is divisible by 2.
What are the factors of 73684?
1, 2, 4, 13, 26, 52, 109, 169, 218, 338, 436, 676, 1417, 2834, 5668, 18421, 36842, 73684.
What is 73684 in binary?
10001111111010100 (hexadecimal 11FD4, octal 217724).
What is the square root of 73684?
About 271.4480, exactly 26√109.
Is 73684 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 73684?
It is a composite number with 18 divisors.