The number 88164
88164 is a composite number with 36 divisors. Its prime factorisation is × × 31 × 79. Divisors (36): 1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 79, 93, 124, 158, 186 … 88164.
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How to work it out
- 1
88164 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
88164 is composite. Its prime factorisation is
- 3
The divisors add up to 232960; without 88164 itself that is 144796, so 88164 is abundant (144796 is more than 88164). Euler's totient φ(88164) = 28080 numbers up to 88164 share no factor with it.
- 4
The digits of 88164 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 146 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88164 = 2^{2} \times 3^{2} \times 31 \times 79 \]88164 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 232960 |
| Euler totient φ(n) | 28080 |
| Square | 7772890896 |
| Cube | 685289152954944 |
| Square root | 296.924233 (= 6√2449) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 146 |
| Scientific notation | 8.8164 × |
88164 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand one hundred and sixty-four |
| Binary (base 2) | 10101100001100100 |
| Octal (base 8) | 254144 |
| Hexadecimal (base 16) | 15864 |
| Base 3 | 11110221100 |
| As time | 88164 seconds = 24 h 29 min 24 s |
Is 88164 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88164 ÷ 2 = 44082) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (88164 ÷ 3 = 29388) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (88164 ÷ 4 = 22041) | 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 | Yes (88164 ÷ 6 = 14694) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (88164 ÷ 9 = 9796) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (88164 ÷ 12 = 7347) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 88164 a prime number?
No. 88164 = × × 31 × 79, so it is divisible by 2.
What are the factors of 88164?
1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 79, 93, 124, 158, 186, 237, 279, 316, 372, 474, 558, 711, 948, 1116, 1422, 2449, 2844, 4898, 7347, 9796, 14694, 22041, 29388, 44082, 88164.
What is 88164 in binary?
10101100001100100 (hexadecimal 15864, octal 254144).
What is the square root of 88164?
About 296.9242, exactly 6√2449.
Is 88164 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 88164?
It is a composite number with 36 divisors.