The number 88121
88121 is a composite number with 4 divisors. Its prime factorisation is 11 × 8011. Divisors (4): 1, 11, 8011, 88121.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 88121: a semiprime: 11 × 8011, the product of two primes.
- 2
88121 is composite. Its prime factorisation is
- 3
The divisors add up to 96144; without 88121 itself that is 8023, so 88121 is deficient (8023 is less than 88121). Euler's totient φ(88121) = 80100 numbers up to 88121 share no factor with it.
- 4
The digits of 88121 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 195 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88121 = 11 \times 8011 \]
88121 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 96144 |
| Euler totient φ(n) | 80100 |
| Square | 7765310641 |
| Cube | 684286938995561 |
| Square root | 296.851815 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 195 |
| Scientific notation | 8.8121 × |
88121 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand one hundred and twenty-one |
| Binary (base 2) | 10101100000111001 |
| Octal (base 8) | 254071 |
| Hexadecimal (base 16) | 15839 |
| Base 3 | 11110212202 |
| As time | 88121 seconds = 24 h 28 min 41 s |
Is 88121 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 1) | 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 5) | 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 2) | 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 | Yes (88121 ÷ 11 = 8011) | 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 88121 a prime number?
No. 88121 = 11 × 8011, so it is divisible by 11.
What are the factors of 88121?
1, 11, 8011, 88121.
What is 88121 in binary?
10101100000111001 (hexadecimal 15839, octal 254071).
What is the square root of 88121?
About 296.8518.
Is 88121 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 88121?
88121 is a semiprime: 11 × 8011, the product of two primes.