The number 32164
32164 is a composite number with 24 divisors. Its prime factorisation is × 11 × 17 × 43. Divisors (24): 1, 2, 4, 11, 17, 22, 34, 43, 44, 68, 86, 172, 187, 374, 473, 731 … 32164.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32164 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32164 is composite. Its prime factorisation is
- 3
The divisors add up to 66528; without 32164 itself that is 34364, so 32164 is abundant (34364 is more than 32164). Euler's totient φ(32164) = 13440 numbers up to 32164 share no factor with it.
- 4
The digits of 32164 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32164 = 2^{2} \times 11 \times 17 \times 43 \]32164 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 66528 |
| Euler totient φ(n) | 13440 |
| Square | 1034522896 |
| Cube | 33274394426944 |
| Square root | 179.343246 (= 2√8041) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.2164 × |
32164 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand one hundred and sixty-four |
| Binary (base 2) | 111110110100100 |
| Octal (base 8) | 76644 |
| Hexadecimal (base 16) | 7DA4 |
| Base 3 | 1122010021 |
| As time | 32164 seconds = 8 h 56 min 4 s |
Is 32164 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32164 ÷ 2 = 16082) | 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 (32164 ÷ 4 = 8041) | 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 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 | No (remainder 7) | 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 | Yes (32164 ÷ 11 = 2924) | 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 32164 a prime number?
No. 32164 = × 11 × 17 × 43, so it is divisible by 2.
What are the factors of 32164?
1, 2, 4, 11, 17, 22, 34, 43, 44, 68, 86, 172, 187, 374, 473, 731, 748, 946, 1462, 1892, 2924, 8041, 16082, 32164.
What is 32164 in binary?
111110110100100 (hexadecimal 7DA4, octal 76644).
What is the square root of 32164?
About 179.3432, exactly 2√8041.
Is 32164 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 32164?
It is a composite number with 24 divisors.