The number 80188
80188 is a composite number with 6 divisors. Its prime factorisation is × 20047. Divisors (6): 1, 2, 4, 20047, 40094, 80188.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80188: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
80188 is composite. Its prime factorisation is
- 3
The divisors add up to 140336; without 80188 itself that is 60148, so 80188 is deficient (60148 is less than 80188). Euler's totient φ(80188) = 40092 numbers up to 80188 share no factor with it.
- 4
The digits of 80188 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80188 = 2^{2} \times 20047 \]80188 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 140336 |
| Euler totient φ(n) | 40092 |
| Square | 6430115344 |
| Cube | 515618089204672 |
| Square root | 283.174858 (= 2√20047) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 68 |
| Scientific notation | 8.0188 × |
80188 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand one hundred and eighty-eight |
| Binary (base 2) | 10011100100111100 |
| Octal (base 8) | 234474 |
| Hexadecimal (base 16) | 1393C |
| Base 3 | 11001222221 |
| As time | 80188 seconds = 22 h 16 min 28 s |
Is 80188 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80188 ÷ 2 = 40094) | 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 (80188 ÷ 4 = 20047) | 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 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 7) | 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 9) | 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 80188 a prime number?
No. 80188 = × 20047, so it is divisible by 2.
What are the factors of 80188?
1, 2, 4, 20047, 40094, 80188.
What is 80188 in binary?
10011100100111100 (hexadecimal 1393C, octal 234474).
What is the square root of 80188?
About 283.1749, exactly 2√20047.
Is 80188 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 80188?
80188 is a happy number: repeatedly adding the squares of its digits reaches 1.