The number 88131
88131 is a composite number with 8 divisors. Its prime factorisation is 3 × 29 × 1013. Divisors (8): 1, 3, 29, 87, 1013, 3039, 29377, 88131.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 88131: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
88131 is composite. Its prime factorisation is
- 3
The divisors add up to 121680; without 88131 itself that is 33549, so 88131 is deficient (33549 is less than 88131). Euler's totient φ(88131) = 56672 numbers up to 88131 share no factor with it.
- 4
The digits of 88131 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88131 = 3 \times 29 \times 1013 \]
88131 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 121680 |
| Euler totient φ(n) | 56672 |
| Square | 7767073161 |
| Cube | 684519924752091 |
| Square root | 296.868658 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 71 |
| Scientific notation | 8.8131 × |
88131 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand one hundred and thirty-one |
| Binary (base 2) | 10101100001000011 |
| Octal (base 8) | 254103 |
| Hexadecimal (base 16) | 15843 |
| Base 3 | 11110220010 |
| As time | 88131 seconds = 24 h 28 min 51 s |
Is 88131 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 (88131 ÷ 3 = 29377) | 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 | 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 1) | 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 3) | 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 10) | 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 88131 a prime number?
No. 88131 = 3 × 29 × 1013, so it is divisible by 3.
What are the factors of 88131?
1, 3, 29, 87, 1013, 3039, 29377, 88131.
What is 88131 in binary?
10101100001000011 (hexadecimal 15843, octal 254103).
What is the square root of 88131?
About 296.8687.
Is 88131 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 88131?
88131 is a happy number: repeatedly adding the squares of its digits reaches 1.