The number 11800
11800 is a composite number with 24 divisors. Its prime factorisation is × × 59. Divisors (24): 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 59, 100, 118, 200, 236, 295 … 11800.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11800: a Harshad number: divisible by its digit sum 10.
- 2
11800 is composite. Its prime factorisation is
- 3
The divisors add up to 27900; without 11800 itself that is 16100, so 11800 is abundant (16100 is more than 11800). Euler's totient φ(11800) = 4640 numbers up to 11800 share no factor with it.
- 4
The digits of 11800 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11800 = 2^{3} \times 5^{2} \times 59 \]11800 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 27900 |
| Euler totient φ(n) | 4640 |
| Square | 139240000 |
| Cube | 1643032000000 |
| Square root | 108.627805 (= 10√118) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 143 |
| Scientific notation | 1.18 × |
11800 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand eight hundred |
| Binary (base 2) | 10111000011000 |
| Octal (base 8) | 27030 |
| Hexadecimal (base 16) | 2E18 |
| Base 3 | 121012001 |
| As time | 11800 seconds = 3 h 16 min 40 s |
Is 11800 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11800 ÷ 2 = 5900) | 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 (11800 ÷ 4 = 2950) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (11800 ÷ 5 = 2360) | 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 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 (11800 ÷ 8 = 1475) | 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 (11800 ÷ 10 = 1180) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 11800 a prime number?
No. 11800 = × × 59, so it is divisible by 2.
What are the factors of 11800?
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 59, 100, 118, 200, 236, 295, 472, 590, 1180, 1475, 2360, 2950, 5900, 11800.
What is 11800 in binary?
10111000011000 (hexadecimal 2E18, octal 27030).
What is the square root of 11800?
About 108.6278, exactly 10√118.
Is 11800 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 11800?
11800 is a Harshad number: divisible by its digit sum 10.