The number 80181
80181 is a composite number with 12 divisors. Its prime factorisation is × 59 × 151. Divisors (12): 1, 3, 9, 59, 151, 177, 453, 531, 1359, 8909, 26727, 80181.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80181: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
80181 is composite. Its prime factorisation is
- 3
The divisors add up to 118560; without 80181 itself that is 38379, so 80181 is deficient (38379 is less than 80181). Euler's totient φ(80181) = 52200 numbers up to 80181 share no factor with it.
- 4
The digits of 80181 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80181 = 3^{2} \times 59 \times 151 \]80181 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 118560 |
| Euler totient φ(n) | 52200 |
| Square | 6428992761 |
| Cube | 515483068569741 |
| Square root | 283.162498 (= 3√8909) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 94 |
| Scientific notation | 8.0181 × |
80181 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand one hundred and eighty-one |
| Binary (base 2) | 10011100100110101 |
| Octal (base 8) | 234465 |
| Hexadecimal (base 16) | 13935 |
| Base 3 | 11001222200 |
| As time | 80181 seconds = 22 h 16 min 21 s |
Is 80181 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80181 ÷ 3 = 26727) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (80181 ÷ 9 = 8909) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80181 a prime number?
No. 80181 = × 59 × 151, so it is divisible by 3.
What are the factors of 80181?
1, 3, 9, 59, 151, 177, 453, 531, 1359, 8909, 26727, 80181.
What is 80181 in binary?
10011100100110101 (hexadecimal 13935, octal 234465).
What is the square root of 80181?
About 283.1625, exactly 3√8909.
Is 80181 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 80181?
80181 is a happy number: repeatedly adding the squares of its digits reaches 1.