The number 11720
11720 is a composite number with 16 divisors. Its prime factorisation is × 5 × 293. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 293, 586, 1172, 1465, 2344, 2930, 5860, 11720.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
11720 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
11720 is composite. Its prime factorisation is
- 3
The divisors add up to 26460; without 11720 itself that is 14740, so 11720 is abundant (14740 is more than 11720). Euler's totient φ(11720) = 4672 numbers up to 11720 share no factor with it.
- 4
The digits of 11720 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 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11720 = 2^{3} \times 5 \times 293 \]11720 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 26460 |
| Euler totient φ(n) | 4672 |
| Square | 137358400 |
| Cube | 1609840448000 |
| Square root | 108.258949 (= 2√2930) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 37 |
| Scientific notation | 1.172 × |
11720 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand seven hundred and twenty |
| Binary (base 2) | 10110111001000 |
| Octal (base 8) | 26710 |
| Hexadecimal (base 16) | 2DC8 |
| Base 3 | 121002002 |
| As time | 11720 seconds = 3 h 15 min 20 s |
Is 11720 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11720 ÷ 2 = 5860) | 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 (11720 ÷ 4 = 2930) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (11720 ÷ 5 = 2344) | 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 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 (11720 ÷ 8 = 1465) | 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 (11720 ÷ 10 = 1172) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11720 a prime number?
No. 11720 = × 5 × 293, so it is divisible by 2.
What are the factors of 11720?
1, 2, 4, 5, 8, 10, 20, 40, 293, 586, 1172, 1465, 2344, 2930, 5860, 11720.
What is 11720 in binary?
10110111001000 (hexadecimal 2DC8, octal 26710).
What is the square root of 11720?
About 108.2589, exactly 2√2930.
Is 11720 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 11720?
It is a composite number with 16 divisors.