The number 88842
88842 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 13 × 17 × 67. Divisors (32): 1, 2, 3, 6, 13, 17, 26, 34, 39, 51, 67, 78, 102, 134, 201, 221 … 88842.
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How to work it out
- 1
88842 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
88842 is composite. Its prime factorisation is
- 3
The divisors add up to 205632; without 88842 itself that is 116790, so 88842 is abundant (116790 is more than 88842). Euler's totient φ(88842) = 25344 numbers up to 88842 share no factor with it.
- 4
The digits of 88842 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 195 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88842 = 2 \times 3 \times 13 \times 17 \times 67 \]
88842 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 205632 |
| Euler totient φ(n) | 25344 |
| Square | 7892900964 |
| Cube | 701221107443688 |
| Square root | 298.063752 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 195 |
| Scientific notation | 8.8842 × |
88842 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand eight hundred and forty-two |
| Binary (base 2) | 10101101100001010 |
| Octal (base 8) | 255412 |
| Hexadecimal (base 16) | 15B0A |
| Base 3 | 11111212110 |
| As time | 88842 seconds = 24 h 40 min 42 s |
Is 88842 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88842 ÷ 2 = 44421) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (88842 ÷ 3 = 29614) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (88842 ÷ 6 = 14807) | 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 2) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 88842 a prime number?
No. 88842 = 2 × 3 × 13 × 17 × 67, so it is divisible by 2.
What are the factors of 88842?
1, 2, 3, 6, 13, 17, 26, 34, 39, 51, 67, 78, 102, 134, 201, 221, 402, 442, 663, 871, 1139, 1326, 1742, 2278, 2613, 3417, 5226, 6834, 14807, 29614, 44421, 88842.
What is 88842 in binary?
10101101100001010 (hexadecimal 15B0A, octal 255412).
What is the square root of 88842?
About 298.0638.
Is 88842 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 88842?
It is a composite number with 32 divisors.