The number 38964
38964 is a composite number with 24 divisors. Its prime factorisation is × 3 × 17 × 191. Divisors (24): 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 191, 204, 382, 573, 764 … 38964.
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How to work it out
- 1
38964 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38964 is composite. Its prime factorisation is
- 3
The divisors add up to 96768; without 38964 itself that is 57804, so 38964 is abundant (57804 is more than 38964). Euler's totient φ(38964) = 12160 numbers up to 38964 share no factor with it.
- 4
The digits of 38964 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38964 = 2^{2} \times 3 \times 17 \times 191 \]38964 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 96768 |
| Euler totient φ(n) | 12160 |
| Square | 1518193296 |
| Cube | 59154883585344 |
| Square root | 197.393009 (= 2√9741) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 137 |
| Scientific notation | 3.8964 × |
38964 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand nine hundred and sixty-four |
| Binary (base 2) | 1001100000110100 |
| Octal (base 8) | 114064 |
| Hexadecimal (base 16) | 9834 |
| Base 3 | 1222110010 |
| As time | 38964 seconds = 10 h 49 min 24 s |
Is 38964 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38964 ÷ 2 = 19482) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38964 ÷ 3 = 12988) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (38964 ÷ 4 = 9741) | 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 (38964 ÷ 6 = 6494) | 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 3) | 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 | Yes (38964 ÷ 12 = 3247) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38964 a prime number?
No. 38964 = × 3 × 17 × 191, so it is divisible by 2.
What are the factors of 38964?
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 191, 204, 382, 573, 764, 1146, 2292, 3247, 6494, 9741, 12988, 19482, 38964.
What is 38964 in binary?
1001100000110100 (hexadecimal 9834, octal 114064).
What is the square root of 38964?
About 197.3930, exactly 2√9741.
Is 38964 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 38964?
It is a composite number with 24 divisors.