The number 38672
38672 is a composite number with 10 divisors. Its prime factorisation is × 2417. Divisors (10): 1, 2, 4, 8, 16, 2417, 4834, 9668, 19336, 38672.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38672 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38672 is composite. Its prime factorisation is
- 3
The divisors add up to 74958; without 38672 itself that is 36286, so 38672 is deficient (36286 is less than 38672). Euler's totient φ(38672) = 19328 numbers up to 38672 share no factor with it.
- 4
The digits of 38672 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 23 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38672 = 2^{4} \times 2417 \]38672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 74958 |
| Euler totient φ(n) | 19328 |
| Square | 1495523584 |
| Cube | 57834888040448 |
| Square root | 196.651977 (= 4√2417) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 23 |
| Scientific notation | 3.8672 × |
38672 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand six hundred and seventy-two |
| Binary (base 2) | 1001011100010000 |
| Octal (base 8) | 113420 |
| Hexadecimal (base 16) | 9710 |
| Base 3 | 1222001022 |
| As time | 38672 seconds = 10 h 44 min 32 s |
Is 38672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38672 ÷ 2 = 19336) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (38672 ÷ 4 = 9668) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (38672 ÷ 8 = 4834) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38672 a prime number?
No. 38672 = × 2417, so it is divisible by 2.
What are the factors of 38672?
1, 2, 4, 8, 16, 2417, 4834, 9668, 19336, 38672.
What is 38672 in binary?
1001011100010000 (hexadecimal 9710, octal 113420).
What is the square root of 38672?
About 196.6520, exactly 4√2417.
Is 38672 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 38672?
It is a composite number with 10 divisors.