The number 73764
73764 is a composite number with 24 divisors. Its prime factorisation is × × 683. Divisors (24): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 683, 1366, 2049, 2732 … 73764.
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How to work it out
- 1
What is special about 73764: a Harshad number: divisible by its digit sum 27.
- 2
73764 is composite. Its prime factorisation is
- 3
The divisors add up to 191520; without 73764 itself that is 117756, so 73764 is abundant (117756 is more than 73764). Euler's totient φ(73764) = 24552 numbers up to 73764 share no factor with it.
- 4
The digits of 73764 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73764 = 2^{2} \times 3^{3} \times 683 \]73764 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 191520 |
| Euler totient φ(n) | 24552 |
| Square | 5441127696 |
| Cube | 401359343367744 |
| Square root | 271.595287 (= 6√2049) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.3764 × |
73764 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand seven hundred and sixty-four |
| Binary (base 2) | 10010000000100100 |
| Octal (base 8) | 220044 |
| Hexadecimal (base 16) | 12024 |
| Base 3 | 10202012000 |
| As time | 73764 seconds = 20 h 29 min 24 s |
Is 73764 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73764 ÷ 2 = 36882) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (73764 ÷ 3 = 24588) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (73764 ÷ 4 = 18441) | 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 (73764 ÷ 6 = 12294) | 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 | Yes (73764 ÷ 9 = 8196) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (73764 ÷ 12 = 6147) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73764 a prime number?
No. 73764 = × × 683, so it is divisible by 2.
What are the factors of 73764?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 683, 1366, 2049, 2732, 4098, 6147, 8196, 12294, 18441, 24588, 36882, 73764.
What is 73764 in binary?
10010000000100100 (hexadecimal 12024, octal 220044).
What is the square root of 73764?
About 271.5953, exactly 6√2049.
Is 73764 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 73764?
73764 is a Harshad number: divisible by its digit sum 27.