The number 73264
73264 is a composite number with 20 divisors. Its prime factorisation is × 19 × 241. Divisors (20): 1, 2, 4, 8, 16, 19, 38, 76, 152, 241, 304, 482, 964, 1928, 3856, 4579 … 73264.
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How to work it out
- 1
73264 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73264 is composite. Its prime factorisation is
- 3
The divisors add up to 150040; without 73264 itself that is 76776, so 73264 is abundant (76776 is more than 73264). Euler's totient φ(73264) = 34560 numbers up to 73264 share no factor with it.
- 4
The digits of 73264 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73264 = 2^{4} \times 19 \times 241 \]73264 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 150040 |
| Euler totient φ(n) | 34560 |
| Square | 5367613696 |
| Cube | 393252849823744 |
| Square root | 270.673235 (= 4√4579) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 112 |
| Scientific notation | 7.3264 × |
73264 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand two hundred and sixty-four |
| Binary (base 2) | 10001111000110000 |
| Octal (base 8) | 217060 |
| Hexadecimal (base 16) | 11E30 |
| Base 3 | 10201111111 |
| As time | 73264 seconds = 20 h 21 min 4 s |
Is 73264 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73264 ÷ 2 = 36632) | 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 (73264 ÷ 4 = 18316) | 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 | Yes (73264 ÷ 8 = 9158) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73264 a prime number?
No. 73264 = × 19 × 241, so it is divisible by 2.
What are the factors of 73264?
1, 2, 4, 8, 16, 19, 38, 76, 152, 241, 304, 482, 964, 1928, 3856, 4579, 9158, 18316, 36632, 73264.
What is 73264 in binary?
10001111000110000 (hexadecimal 11E30, octal 217060).
What is the square root of 73264?
About 270.6732, exactly 4√4579.
Is 73264 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 73264?
It is a composite number with 20 divisors.