The number 73521
73521 is a composite number with 16 divisors. Its prime factorisation is × 7 × 389. Divisors (16): 1, 3, 7, 9, 21, 27, 63, 189, 389, 1167, 2723, 3501, 8169, 10503, 24507, 73521.
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How to work it out
- 1
73521 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73521 is composite. Its prime factorisation is
- 3
The divisors add up to 124800; without 73521 itself that is 51279, so 73521 is deficient (51279 is less than 73521). Euler's totient φ(73521) = 41904 numbers up to 73521 share no factor with it.
- 4
The digits of 73521 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73521 = 3^{3} \times 7 \times 389 \]73521 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 124800 |
| Euler totient φ(n) | 41904 |
| Square | 5405337441 |
| Cube | 397405813999761 |
| Square root | 271.147561 (= 3√8169) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.3521 × |
73521 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand five hundred and twenty-one |
| Binary (base 2) | 10001111100110001 |
| Octal (base 8) | 217461 |
| Hexadecimal (base 16) | 11F31 |
| Base 3 | 10201212000 |
| As time | 73521 seconds = 20 h 25 min 21 s |
Is 73521 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (73521 ÷ 3 = 24507) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (73521 ÷ 7 = 10503) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (73521 ÷ 9 = 8169) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73521 a prime number?
No. 73521 = × 7 × 389, so it is divisible by 3.
What are the factors of 73521?
1, 3, 7, 9, 21, 27, 63, 189, 389, 1167, 2723, 3501, 8169, 10503, 24507, 73521.
What is 73521 in binary?
10001111100110001 (hexadecimal 11F31, octal 217461).
What is the square root of 73521?
About 271.1476, exactly 3√8169.
Is 73521 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 73521?
It is a composite number with 16 divisors.