The number 88101
88101 is a composite number with 16 divisors. Its prime factorisation is × 13 × 251. Divisors (16): 1, 3, 9, 13, 27, 39, 117, 251, 351, 753, 2259, 3263, 6777, 9789, 29367, 88101.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 88101: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
88101 is composite. Its prime factorisation is
- 3
The divisors add up to 141120; without 88101 itself that is 53019, so 88101 is deficient (53019 is less than 88101). Euler's totient φ(88101) = 54000 numbers up to 88101 share no factor with it.
- 4
The digits of 88101 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 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88101 = 3^{3} \times 13 \times 251 \]88101 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 141120 |
| Euler totient φ(n) | 54000 |
| Square | 7761786201 |
| Cube | 683821126094301 |
| Square root | 296.818126 (= 3√9789) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 71 |
| Scientific notation | 8.8101 × |
88101 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand one hundred and one |
| Binary (base 2) | 10101100000100101 |
| Octal (base 8) | 254045 |
| Hexadecimal (base 16) | 15825 |
| Base 3 | 11110212000 |
| As time | 88101 seconds = 24 h 28 min 21 s |
Is 88101 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 (88101 ÷ 3 = 29367) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (88101 ÷ 9 = 9789) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 88101 a prime number?
No. 88101 = × 13 × 251, so it is divisible by 3.
What are the factors of 88101?
1, 3, 9, 13, 27, 39, 117, 251, 351, 753, 2259, 3263, 6777, 9789, 29367, 88101.
What is 88101 in binary?
10101100000100101 (hexadecimal 15825, octal 254045).
What is the square root of 88101?
About 296.8181, exactly 3√9789.
Is 88101 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 88101?
88101 is a happy number: repeatedly adding the squares of its digits reaches 1.