The number 5720
5720 is a composite number with 32 divisors. Its prime factorisation is × 5 × 11 × 13. Divisors (32): 1, 2, 4, 5, 8, 10, 11, 13, 20, 22, 26, 40, 44, 52, 55, 65 … 5720.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5720 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5720 is composite. Its prime factorisation is
- 3
The divisors add up to 15120; without 5720 itself that is 9400, so 5720 is abundant (9400 is more than 5720). Euler's totient φ(5720) = 1920 numbers up to 5720 share no factor with it.
- 4
The digits of 5720 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 28 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5720 = 2^{3} \times 5 \times 11 \times 13 \]5720 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 15120 |
| Euler totient φ(n) | 1920 |
| Square | 32718400 |
| Cube | 187149248000 |
| Square root | 75.630682 (= 2√1430) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 28 |
| Scientific notation | 5.72 × |
5720 in other forms
| Form | Value |
|---|---|
| In words | five thousand seven hundred and twenty |
| Binary (base 2) | 1011001011000 |
| Octal (base 8) | 13130 |
| Hexadecimal (base 16) | 1658 |
| Base 3 | 21211212 |
| As time | 5720 seconds = 1 h 35 min 20 s |
Is 5720 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5720 ÷ 2 = 2860) | 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 (5720 ÷ 4 = 1430) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (5720 ÷ 5 = 1144) | 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 1) | 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 (5720 ÷ 8 = 715) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (5720 ÷ 10 = 572) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (5720 ÷ 11 = 520) | 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 5720 a prime number?
No. 5720 = × 5 × 11 × 13, so it is divisible by 2.
What are the factors of 5720?
1, 2, 4, 5, 8, 10, 11, 13, 20, 22, 26, 40, 44, 52, 55, 65, 88, 104, 110, 130, 143, 220, 260, 286, 440, 520, 572, 715, 1144, 1430, 2860, 5720.
What is 5720 in binary?
1011001011000 (hexadecimal 1658, octal 13130).
What is the square root of 5720?
About 75.6307, exactly 2√1430.
Is 5720 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 5720?
It is a composite number with 32 divisors.