The number 38164
38164 is a composite number with 24 divisors. Its prime factorisation is × 7 × 29 × 47. Divisors (24): 1, 2, 4, 7, 14, 28, 29, 47, 58, 94, 116, 188, 203, 329, 406, 658 … 38164.
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How to work it out
- 1
38164 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38164 is composite. Its prime factorisation is
- 3
The divisors add up to 80640; without 38164 itself that is 42476, so 38164 is abundant (42476 is more than 38164). Euler's totient φ(38164) = 15456 numbers up to 38164 share no factor with it.
- 4
The digits of 38164 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38164 = 2^{2} \times 7 \times 29 \times 47 \]38164 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 80640 |
| Euler totient φ(n) | 15456 |
| Square | 1456490896 |
| Cube | 55585518554944 |
| Square root | 195.356085 (= 2√9541) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 106 |
| Scientific notation | 3.8164 × |
38164 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand one hundred and sixty-four |
| Binary (base 2) | 1001010100010100 |
| Octal (base 8) | 112424 |
| Hexadecimal (base 16) | 9514 |
| Base 3 | 1221100111 |
| As time | 38164 seconds = 10 h 36 min 4 s |
Is 38164 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38164 ÷ 2 = 19082) | 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 (38164 ÷ 4 = 9541) | 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 (38164 ÷ 7 = 5452) | 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 4) | 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 5) | 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 38164 a prime number?
No. 38164 = × 7 × 29 × 47, so it is divisible by 2.
What are the factors of 38164?
1, 2, 4, 7, 14, 28, 29, 47, 58, 94, 116, 188, 203, 329, 406, 658, 812, 1316, 1363, 2726, 5452, 9541, 19082, 38164.
What is 38164 in binary?
1001010100010100 (hexadecimal 9514, octal 112424).
What is the square root of 38164?
About 195.3561, exactly 2√9541.
Is 38164 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 38164?
It is a composite number with 24 divisors.