The number 88081
88081 is a composite number with 4 divisors. Its prime factorisation is 7 × 12583. Divisors (4): 1, 7, 12583, 88081.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 88081: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 12583, the product of two primes.
- 2
88081 is composite. Its prime factorisation is
- 3
The divisors add up to 100672; without 88081 itself that is 12591, so 88081 is deficient (12591 is less than 88081). Euler's totient φ(88081) = 75492 numbers up to 88081 share no factor with it.
- 4
The digits of 88081 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 195 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88081 = 7 \times 12583 \]
88081 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 100672 |
| Euler totient φ(n) | 75492 |
| Square | 7758262561 |
| Cube | 683355524635441 |
| Square root | 296.784434 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 195 |
| Scientific notation | 8.8081 × |
88081 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand and eighty-one |
| Binary (base 2) | 10101100000010001 |
| Octal (base 8) | 254021 |
| Hexadecimal (base 16) | 15811 |
| Base 3 | 11110211021 |
| As time | 88081 seconds = 24 h 28 min 1 s |
Is 88081 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 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (88081 ÷ 7 = 12583) | 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 1) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 88081 a prime number?
No. 88081 = 7 × 12583, so it is divisible by 7.
What are the factors of 88081?
1, 7, 12583, 88081.
What is 88081 in binary?
10101100000010001 (hexadecimal 15811, octal 254021).
What is the square root of 88081?
About 296.7844.
Is 88081 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 88081?
88081 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 12583, the product of two primes.