The number 4521
4521 is a composite number with 8 divisors. Its prime factorisation is 3 × 11 × 137. Divisors (8): 1, 3, 11, 33, 137, 411, 1507, 4521.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4521 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4521 is composite. Its prime factorisation is
- 3
The divisors add up to 6624; without 4521 itself that is 2103, so 4521 is deficient (2103 is less than 4521). Euler's totient φ(4521) = 2720 numbers up to 4521 share no factor with it.
- 4
The digits of 4521 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 183 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4521 = 3 \times 11 \times 137 \]
4521 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 6624 |
| Euler totient φ(n) | 2720 |
| Square | 20439441 |
| Cube | 92406712761 |
| Square root | 67.238382 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 183 |
| Scientific notation | 4.521 × |
4521 in other forms
| Form | Value |
|---|---|
| In words | four thousand five hundred and twenty-one |
| Binary (base 2) | 1000110101001 |
| Octal (base 8) | 10651 |
| Hexadecimal (base 16) | 11A9 |
| Base 3 | 20012110 |
| As time | 4521 seconds = 1 h 15 min 21 s |
Is 4521 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 (4521 ÷ 3 = 1507) | 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 6) | 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 3) | 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 | Yes (4521 ÷ 11 = 411) | 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 4521 a prime number?
No. 4521 = 3 × 11 × 137, so it is divisible by 3.
What are the factors of 4521?
1, 3, 11, 33, 137, 411, 1507, 4521.
What is 4521 in binary?
1000110101001 (hexadecimal 11A9, octal 10651).
What is the square root of 4521?
About 67.2384.
Is 4521 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 4521?
It is a composite number with 8 divisors.