The number 8164
8164 is a composite number with 12 divisors. Its prime factorisation is × 13 × 157. Divisors (12): 1, 2, 4, 13, 26, 52, 157, 314, 628, 2041, 4082, 8164.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8164 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8164 is composite. Its prime factorisation is
- 3
The divisors add up to 15484; without 8164 itself that is 7320, so 8164 is deficient (7320 is less than 8164). Euler's totient φ(8164) = 3744 numbers up to 8164 share no factor with it.
- 4
The digits of 8164 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 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8164 = 2^{2} \times 13 \times 157 \]8164 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 15484 |
| Euler totient φ(n) | 3744 |
| Square | 66650896 |
| Cube | 544137914944 |
| Square root | 90.354856 (= 2√2041) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 65 |
| Scientific notation | 8.164 × |
8164 in other forms
| Form | Value |
|---|---|
| In words | eight thousand one hundred and sixty-four |
| Binary (base 2) | 1111111100100 |
| Octal (base 8) | 17744 |
| Hexadecimal (base 16) | 1FE4 |
| Base 3 | 102012101 |
| As time | 8164 seconds = 2 h 16 min 4 s |
Is 8164 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8164 ÷ 2 = 4082) | 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 (8164 ÷ 4 = 2041) | 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 2) | 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 2) | 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 8164 a prime number?
No. 8164 = × 13 × 157, so it is divisible by 2.
What are the factors of 8164?
1, 2, 4, 13, 26, 52, 157, 314, 628, 2041, 4082, 8164.
What is 8164 in binary?
1111111100100 (hexadecimal 1FE4, octal 17744).
What is the square root of 8164?
About 90.3549, exactly 2√2041.
Is 8164 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 8164?
It is a composite number with 12 divisors.