The number 88084
88084 is a composite number with 18 divisors. Its prime factorisation is × × 61. Divisors (18): 1, 2, 4, 19, 38, 61, 76, 122, 244, 361, 722, 1159, 1444, 2318, 4636, 22021 … 88084.
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How to work it out
- 1
What is special about 88084: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
88084 is composite. Its prime factorisation is
- 3
The divisors add up to 165354; without 88084 itself that is 77270, so 88084 is deficient (77270 is less than 88084). Euler's totient φ(88084) = 41040 numbers up to 88084 share no factor with it.
- 4
The digits of 88084 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 195 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88084 = 2^{2} \times 19^{2} \times 61 \]88084 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 165354 |
| Euler totient φ(n) | 41040 |
| Square | 7758791056 |
| Cube | 683425351376704 |
| Square root | 296.789488 (= 38√61) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 195 |
| Scientific notation | 8.8084 × |
88084 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand and eighty-four |
| Binary (base 2) | 10101100000010100 |
| Octal (base 8) | 254024 |
| Hexadecimal (base 16) | 15814 |
| Base 3 | 11110211101 |
| As time | 88084 seconds = 24 h 28 min 4 s |
Is 88084 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88084 ÷ 2 = 44042) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (88084 ÷ 4 = 22021) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 88084 a prime number?
No. 88084 = × × 61, so it is divisible by 2.
What are the factors of 88084?
1, 2, 4, 19, 38, 61, 76, 122, 244, 361, 722, 1159, 1444, 2318, 4636, 22021, 44042, 88084.
What is 88084 in binary?
10101100000010100 (hexadecimal 15814, octal 254024).
What is the square root of 88084?
About 296.7895, exactly 38√61.
Is 88084 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 88084?
88084 is a happy number: repeatedly adding the squares of its digits reaches 1.