The number 4720
4720 is a composite number with 20 divisors. Its prime factorisation is × 5 × 59. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 59, 80, 118, 236, 295, 472, 590 … 4720.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4720 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4720 is composite. Its prime factorisation is
- 3
The divisors add up to 11160; without 4720 itself that is 6440, so 4720 is abundant (6440 is more than 4720). Euler's totient φ(4720) = 1856 numbers up to 4720 share no factor with it.
- 4
The digits of 4720 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4720 = 2^{4} \times 5 \times 59 \]4720 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 11160 |
| Euler totient φ(n) | 1856 |
| Square | 22278400 |
| Cube | 105154048000 |
| Square root | 68.702256 (= 4√295) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 59 |
| Scientific notation | 4.72 × |
4720 in other forms
| Form | Value |
|---|---|
| In words | four thousand seven hundred and twenty |
| Binary (base 2) | 1001001110000 |
| Octal (base 8) | 11160 |
| Hexadecimal (base 16) | 1270 |
| Base 3 | 20110211 |
| As time | 4720 seconds = 1 h 18 min 40 s |
Is 4720 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4720 ÷ 2 = 2360) | 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 (4720 ÷ 4 = 1180) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (4720 ÷ 5 = 944) | 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 (4720 ÷ 8 = 590) | 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 | Yes (4720 ÷ 10 = 472) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 4720 a prime number?
No. 4720 = × 5 × 59, so it is divisible by 2.
What are the factors of 4720?
1, 2, 4, 5, 8, 10, 16, 20, 40, 59, 80, 118, 236, 295, 472, 590, 944, 1180, 2360, 4720.
What is 4720 in binary?
1001001110000 (hexadecimal 1270, octal 11160).
What is the square root of 4720?
About 68.7023, exactly 4√295.
Is 4720 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 4720?
It is a composite number with 20 divisors.