The number 12088
12088 is a composite number with 8 divisors. Its prime factorisation is × 1511. Divisors (8): 1, 2, 4, 8, 1511, 3022, 6044, 12088.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12088: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
12088 is composite. Its prime factorisation is
- 3
The divisors add up to 22680; without 12088 itself that is 10592, so 12088 is deficient (10592 is less than 12088). Euler's totient φ(12088) = 6040 numbers up to 12088 share no factor with it.
- 4
The digits of 12088 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 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12088 = 2^{3} \times 1511 \]12088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 22680 |
| Euler totient φ(n) | 6040 |
| Square | 146119744 |
| Cube | 1766295465472 |
| Square root | 109.945441 (= 2√3022) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 94 |
| Scientific notation | 1.2088 × |
12088 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand and eighty-eight |
| Binary (base 2) | 10111100111000 |
| Octal (base 8) | 27470 |
| Hexadecimal (base 16) | 2F38 |
| Base 3 | 121120201 |
| As time | 12088 seconds = 3 h 21 min 28 s |
Is 12088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12088 ÷ 2 = 6044) | 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 (12088 ÷ 4 = 3022) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 6) | 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 (12088 ÷ 8 = 1511) | 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 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 12088 a prime number?
No. 12088 = × 1511, so it is divisible by 2.
What are the factors of 12088?
1, 2, 4, 8, 1511, 3022, 6044, 12088.
What is 12088 in binary?
10111100111000 (hexadecimal 2F38, octal 27470).
What is the square root of 12088?
About 109.9454, exactly 2√3022.
Is 12088 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 12088?
12088 is a happy number: repeatedly adding the squares of its digits reaches 1.