The number 88122
88122 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 19 × 773. Divisors (16): 1, 2, 3, 6, 19, 38, 57, 114, 773, 1546, 2319, 4638, 14687, 29374, 44061, 88122.
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How to work it out
- 1
88122 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
88122 is composite. Its prime factorisation is
- 3
The divisors add up to 185760; without 88122 itself that is 97638, so 88122 is abundant (97638 is more than 88122). Euler's totient φ(88122) = 27792 numbers up to 88122 share no factor with it.
- 4
The digits of 88122 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
\[ 88122 = 2 \times 3 \times 19 \times 773 \]
88122 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 185760 |
| Euler totient φ(n) | 27792 |
| Square | 7765486884 |
| Cube | 684310235191848 |
| Square root | 296.853499 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 71 |
| Scientific notation | 8.8122 × |
88122 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand one hundred and twenty-two |
| Binary (base 2) | 10101100000111010 |
| Octal (base 8) | 254072 |
| Hexadecimal (base 16) | 1583A |
| Base 3 | 11110212210 |
| As time | 88122 seconds = 24 h 28 min 42 s |
Is 88122 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88122 ÷ 2 = 44061) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (88122 ÷ 3 = 29374) | 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 (88122 ÷ 6 = 14687) | 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 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 1) | 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 88122 a prime number?
No. 88122 = 2 × 3 × 19 × 773, so it is divisible by 2.
What are the factors of 88122?
1, 2, 3, 6, 19, 38, 57, 114, 773, 1546, 2319, 4638, 14687, 29374, 44061, 88122.
What is 88122 in binary?
10101100000111010 (hexadecimal 1583A, octal 254072).
What is the square root of 88122?
About 296.8535.
Is 88122 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 88122?
It is a composite number with 16 divisors.