The number 43521
43521 is a composite number with 8 divisors. Its prime factorisation is 3 × 89 × 163. Divisors (8): 1, 3, 89, 163, 267, 489, 14507, 43521.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
43521 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43521 is composite. Its prime factorisation is
- 3
The divisors add up to 59040; without 43521 itself that is 15519, so 43521 is deficient (15519 is less than 43521). Euler's totient φ(43521) = 28512 numbers up to 43521 share no factor with it.
- 4
The digits of 43521 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43521 = 3 \times 89 \times 163 \]
43521 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 59040 |
| Euler totient φ(n) | 28512 |
| Square | 1894077441 |
| Cube | 82432144309761 |
| Square root | 208.616874 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.3521 × |
43521 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand five hundred and twenty-one |
| Binary (base 2) | 1010101000000001 |
| Octal (base 8) | 125001 |
| Hexadecimal (base 16) | AA01 |
| Base 3 | 2012200220 |
| As time | 43521 seconds = 12 h 5 min 21 s |
Is 43521 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 (43521 ÷ 3 = 14507) | 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 | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 5) | 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 43521 a prime number?
No. 43521 = 3 × 89 × 163, so it is divisible by 3.
What are the factors of 43521?
1, 3, 89, 163, 267, 489, 14507, 43521.
What is 43521 in binary?
1010101000000001 (hexadecimal AA01, octal 125001).
What is the square root of 43521?
About 208.6169.
Is 43521 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 43521?
It is a composite number with 8 divisors.