The number 80115
80115 is a composite number with 24 divisors. Its prime factorisation is 3 × 5 × × 109. Divisors (24): 1, 3, 5, 7, 15, 21, 35, 49, 105, 109, 147, 245, 327, 545, 735, 763 … 80115.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80115: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 15.
- 2
80115 is composite. Its prime factorisation is
- 3
The divisors add up to 150480; without 80115 itself that is 70365, so 80115 is deficient (70365 is less than 80115). Euler's totient φ(80115) = 36288 numbers up to 80115 share no factor with it.
- 4
The digits of 80115 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80115 = 3 \times 5 \times 7^{2} \times 109 \]80115 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 150480 |
| Euler totient φ(n) | 36288 |
| Square | 6418413225 |
| Cube | 514211175520875 |
| Square root | 283.045933 (= 7√1635) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 138 |
| Scientific notation | 8.0115 × |
80115 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand one hundred and fifteen |
| Binary (base 2) | 10011100011110011 |
| Octal (base 8) | 234363 |
| Hexadecimal (base 16) | 138F3 |
| Base 3 | 11001220020 |
| As time | 80115 seconds = 22 h 15 min 15 s |
Is 80115 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 (80115 ÷ 3 = 26705) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (80115 ÷ 5 = 16023) | 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 | Yes (80115 ÷ 7 = 11445) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80115 a prime number?
No. 80115 = 3 × 5 × × 109, so it is divisible by 3.
What are the factors of 80115?
1, 3, 5, 7, 15, 21, 35, 49, 105, 109, 147, 245, 327, 545, 735, 763, 1635, 2289, 3815, 5341, 11445, 16023, 26705, 80115.
What is 80115 in binary?
10011100011110011 (hexadecimal 138F3, octal 234363).
What is the square root of 80115?
About 283.0459, exactly 7√1635.
Is 80115 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 80115?
80115 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 15.