The number 88165
88165 is a composite number with 16 divisors. Its prime factorisation is 5 × 7 × 11 × 229. Divisors (16): 1, 5, 7, 11, 35, 55, 77, 229, 385, 1145, 1603, 2519, 8015, 12595, 17633, 88165.
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How to work it out
- 1
What is special about 88165: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
88165 is composite. Its prime factorisation is
- 3
The divisors add up to 132480; without 88165 itself that is 44315, so 88165 is deficient (44315 is less than 88165). Euler's totient φ(88165) = 54720 numbers up to 88165 share no factor with it.
- 4
The digits of 88165 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 146 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88165 = 5 \times 7 \times 11 \times 229 \]
88165 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 132480 |
| Euler totient φ(n) | 54720 |
| Square | 7773067225 |
| Cube | 685312471892125 |
| Square root | 296.925917 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 146 |
| Scientific notation | 8.8165 × |
88165 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand one hundred and sixty-five |
| Binary (base 2) | 10101100001100101 |
| Octal (base 8) | 254145 |
| Hexadecimal (base 16) | 15865 |
| Base 3 | 11110221101 |
| As time | 88165 seconds = 24 h 29 min 25 s |
Is 88165 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 | No (remainder 1) | 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 | Yes (88165 ÷ 5 = 17633) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (88165 ÷ 7 = 12595) | 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 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (88165 ÷ 11 = 8015) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 88165 a prime number?
No. 88165 = 5 × 7 × 11 × 229, so it is divisible by 5.
What are the factors of 88165?
1, 5, 7, 11, 35, 55, 77, 229, 385, 1145, 1603, 2519, 8015, 12595, 17633, 88165.
What is 88165 in binary?
10101100001100101 (hexadecimal 15865, octal 254145).
What is the square root of 88165?
About 296.9259.
Is 88165 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 88165?
88165 is a happy number: repeatedly adding the squares of its digits reaches 1.