The number 38464
38464 is a composite number with 14 divisors. Its prime factorisation is × 601. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 601, 1202, 2404, 4808, 9616, 19232, 38464.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38464 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38464 is composite. Its prime factorisation is
- 3
The divisors add up to 76454; without 38464 itself that is 37990, so 38464 is deficient (37990 is less than 38464). Euler's totient φ(38464) = 19200 numbers up to 38464 share no factor with it.
- 4
The digits of 38464 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38464 = 2^{6} \times 601 \]38464 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 76454 |
| Euler totient φ(n) | 19200 |
| Square | 1479479296 |
| Cube | 56906691641344 |
| Square root | 196.122411 (= 8√601) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.8464 × |
38464 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand four hundred and sixty-four |
| Binary (base 2) | 1001011001000000 |
| Octal (base 8) | 113100 |
| Hexadecimal (base 16) | 9640 |
| Base 3 | 1221202121 |
| As time | 38464 seconds = 10 h 41 min 4 s |
Is 38464 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38464 ÷ 2 = 19232) | 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 (38464 ÷ 4 = 9616) | 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 | Yes (38464 ÷ 8 = 4808) | 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 | No (remainder 8) | 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 38464 a prime number?
No. 38464 = × 601, so it is divisible by 2.
What are the factors of 38464?
1, 2, 4, 8, 16, 32, 64, 601, 1202, 2404, 4808, 9616, 19232, 38464.
What is 38464 in binary?
1001011001000000 (hexadecimal 9640, octal 113100).
What is the square root of 38464?
About 196.1224, exactly 8√601.
Is 38464 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 38464?
It is a composite number with 14 divisors.