The number 88013
88013 is a composite number with 4 divisors. Its prime factorisation is 283 × 311. Divisors (4): 1, 283, 311, 88013.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 88013: a semiprime: 283 × 311, the product of two primes.
- 2
88013 is composite. Its prime factorisation is
- 3
The divisors add up to 88608; without 88013 itself that is 595, so 88013 is deficient (595 is less than 88013). Euler's totient φ(88013) = 87420 numbers up to 88013 share no factor with it.
- 4
The digits of 88013 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88013 = 283 \times 311 \]
88013 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 88608 |
| Euler totient φ(n) | 87420 |
| Square | 7746288169 |
| Cube | 681774060618197 |
| Square root | 296.669850 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 71 |
| Scientific notation | 8.8013 × |
88013 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand and thirteen |
| Binary (base 2) | 10101011111001101 |
| Octal (base 8) | 253715 |
| Hexadecimal (base 16) | 157CD |
| Base 3 | 11110201202 |
| As time | 88013 seconds = 24 h 26 min 53 s |
Is 88013 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 2) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 88013 a prime number?
No. 88013 = 283 × 311, so it is divisible by 283.
What are the factors of 88013?
1, 283, 311, 88013.
What is 88013 in binary?
10101011111001101 (hexadecimal 157CD, octal 253715).
What is the square root of 88013?
About 296.6699.
Is 88013 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 88013?
88013 is a semiprime: 283 × 311, the product of two primes.