The number 80118
80118 is a composite number with 12 divisors. Its prime factorisation is 2 × × 4451. Divisors (12): 1, 2, 3, 6, 9, 18, 4451, 8902, 13353, 26706, 40059, 80118.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80118: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
80118 is composite. Its prime factorisation is
- 3
The divisors add up to 173628; without 80118 itself that is 93510, so 80118 is abundant (93510 is more than 80118). Euler's totient φ(80118) = 26700 numbers up to 80118 share no factor with it.
- 4
The digits of 80118 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 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80118 = 2 \times 3^{2} \times 4451 \]80118 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 173628 |
| Euler totient φ(n) | 26700 |
| Square | 6418893924 |
| Cube | 514268943403032 |
| Square root | 283.051232 (= 3√8902) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 68 |
| Scientific notation | 8.0118 × |
80118 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand one hundred and eighteen |
| Binary (base 2) | 10011100011110110 |
| Octal (base 8) | 234366 |
| Hexadecimal (base 16) | 138F6 |
| Base 3 | 11001220100 |
| As time | 80118 seconds = 22 h 15 min 18 s |
Is 80118 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80118 ÷ 2 = 40059) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80118 ÷ 3 = 26706) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (80118 ÷ 6 = 13353) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (80118 ÷ 9 = 8902) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80118 a prime number?
No. 80118 = 2 × × 4451, so it is divisible by 2.
What are the factors of 80118?
1, 2, 3, 6, 9, 18, 4451, 8902, 13353, 26706, 40059, 80118.
What is 80118 in binary?
10011100011110110 (hexadecimal 138F6, octal 234366).
What is the square root of 80118?
About 283.0512, exactly 3√8902.
Is 80118 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 80118?
80118 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.