The number 73704
73704 is a composite number with 32 divisors. Its prime factorisation is × 3 × 37 × 83. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 83, 111, 148, 166, 222, 249 … 73704.
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How to work it out
- 1
73704 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73704 is composite. Its prime factorisation is
- 3
The divisors add up to 191520; without 73704 itself that is 117816, so 73704 is abundant (117816 is more than 73704). Euler's totient φ(73704) = 23616 numbers up to 73704 share no factor with it.
- 4
The digits of 73704 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73704 = 2^{3} \times 3 \times 37 \times 83 \]73704 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 191520 |
| Euler totient φ(n) | 23616 |
| Square | 5432279616 |
| Cube | 400380736817664 |
| Square root | 271.484806 (= 2√18426) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.3704 × |
73704 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand seven hundred and four |
| Binary (base 2) | 10001111111101000 |
| Octal (base 8) | 217750 |
| Hexadecimal (base 16) | 11FE8 |
| Base 3 | 10202002210 |
| As time | 73704 seconds = 20 h 28 min 24 s |
Is 73704 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73704 ÷ 2 = 36852) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (73704 ÷ 3 = 24568) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (73704 ÷ 4 = 18426) | 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 | Yes (73704 ÷ 6 = 12284) | 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 (73704 ÷ 8 = 9213) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (73704 ÷ 12 = 6142) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73704 a prime number?
No. 73704 = × 3 × 37 × 83, so it is divisible by 2.
What are the factors of 73704?
1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 83, 111, 148, 166, 222, 249, 296, 332, 444, 498, 664, 888, 996, 1992, 3071, 6142, 9213, 12284, 18426, 24568, 36852, 73704.
What is 73704 in binary?
10001111111101000 (hexadecimal 11FE8, octal 217750).
What is the square root of 73704?
About 271.4848, exactly 2√18426.
Is 73704 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 73704?
It is a composite number with 32 divisors.