The number 4520
4520 is a composite number with 16 divisors. Its prime factorisation is × 5 × 113. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 113, 226, 452, 565, 904, 1130, 2260, 4520.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4520 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4520 is composite. Its prime factorisation is
- 3
The divisors add up to 10260; without 4520 itself that is 5740, so 4520 is abundant (5740 is more than 4520). Euler's totient φ(4520) = 1792 numbers up to 4520 share no factor with it.
- 4
The digits of 4520 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 20 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4520 = 2^{3} \times 5 \times 113 \]4520 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 10260 |
| Euler totient φ(n) | 1792 |
| Square | 20430400 |
| Cube | 92345408000 |
| Square root | 67.230945 (= 2√1130) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 20 |
| Scientific notation | 4.52 × |
4520 in other forms
| Form | Value |
|---|---|
| In words | four thousand five hundred and twenty |
| Binary (base 2) | 1000110101000 |
| Octal (base 8) | 10650 |
| Hexadecimal (base 16) | 11A8 |
| Base 3 | 20012102 |
| As time | 4520 seconds = 1 h 15 min 20 s |
Is 4520 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4520 ÷ 2 = 2260) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (4520 ÷ 4 = 1130) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (4520 ÷ 5 = 904) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 | Yes (4520 ÷ 8 = 565) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (4520 ÷ 10 = 452) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4520 a prime number?
No. 4520 = × 5 × 113, so it is divisible by 2.
What are the factors of 4520?
1, 2, 4, 5, 8, 10, 20, 40, 113, 226, 452, 565, 904, 1130, 2260, 4520.
What is 4520 in binary?
1000110101000 (hexadecimal 11A8, octal 10650).
What is the square root of 4520?
About 67.2309, exactly 2√1130.
Is 4520 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 4520?
It is a composite number with 16 divisors.