The number 80164
80164 is a composite number with 18 divisors. Its prime factorisation is × × 409. Divisors (18): 1, 2, 4, 7, 14, 28, 49, 98, 196, 409, 818, 1636, 2863, 5726, 11452, 20041 … 80164.
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How to work it out
- 1
80164 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80164 is composite. Its prime factorisation is
- 3
The divisors add up to 163590; without 80164 itself that is 83426, so 80164 is abundant (83426 is more than 80164). Euler's totient φ(80164) = 34272 numbers up to 80164 share no factor with it.
- 4
The digits of 80164 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 213 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80164 = 2^{2} \times 7^{2} \times 409 \]80164 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 163590 |
| Euler totient φ(n) | 34272 |
| Square | 6426266896 |
| Cube | 515155259450944 |
| Square root | 283.132478 (= 14√409) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 213 |
| Scientific notation | 8.0164 × |
80164 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand one hundred and sixty-four |
| Binary (base 2) | 10011100100100100 |
| Octal (base 8) | 234444 |
| Hexadecimal (base 16) | 13924 |
| Base 3 | 11001222001 |
| As time | 80164 seconds = 22 h 16 min 4 s |
Is 80164 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80164 ÷ 2 = 40082) | 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 (80164 ÷ 4 = 20041) | 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 | Yes (80164 ÷ 7 = 11452) | 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 80164 a prime number?
No. 80164 = × × 409, so it is divisible by 2.
What are the factors of 80164?
1, 2, 4, 7, 14, 28, 49, 98, 196, 409, 818, 1636, 2863, 5726, 11452, 20041, 40082, 80164.
What is 80164 in binary?
10011100100100100 (hexadecimal 13924, octal 234444).
What is the square root of 80164?
About 283.1325, exactly 14√409.
Is 80164 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 80164?
It is a composite number with 18 divisors.