The number 11980
11980 is a composite number with 12 divisors. Its prime factorisation is × 5 × 599. Divisors (12): 1, 2, 4, 5, 10, 20, 599, 1198, 2396, 2995, 5990, 11980.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
11980 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
11980 is composite. Its prime factorisation is
- 3
The divisors add up to 25200; without 11980 itself that is 13220, so 11980 is abundant (13220 is more than 11980). Euler's totient φ(11980) = 4784 numbers up to 11980 share no factor with it.
- 4
The digits of 11980 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11980 = 2^{2} \times 5 \times 599 \]11980 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 25200 |
| Euler totient φ(n) | 4784 |
| Square | 143520400 |
| Cube | 1719374392000 |
| Square root | 109.453186 (= 2√2995) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 50 |
| Scientific notation | 1.198 × |
11980 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand nine hundred and eighty |
| Binary (base 2) | 10111011001100 |
| Octal (base 8) | 27314 |
| Hexadecimal (base 16) | 2ECC |
| Base 3 | 121102201 |
| As time | 11980 seconds = 3 h 19 min 40 s |
Is 11980 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11980 ÷ 2 = 5990) | 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 (11980 ÷ 4 = 2995) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (11980 ÷ 5 = 2396) | 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 3) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (11980 ÷ 10 = 1198) | 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 11980 a prime number?
No. 11980 = × 5 × 599, so it is divisible by 2.
What are the factors of 11980?
1, 2, 4, 5, 10, 20, 599, 1198, 2396, 2995, 5990, 11980.
What is 11980 in binary?
10111011001100 (hexadecimal 2ECC, octal 27314).
What is the square root of 11980?
About 109.4532, exactly 2√2995.
Is 11980 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 11980?
It is a composite number with 12 divisors.