The number 38616
38616 is a composite number with 16 divisors. Its prime factorisation is × 3 × 1609. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 1609, 3218, 4827, 6436, 9654, 12872, 19308, 38616.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38616: a Harshad number: divisible by its digit sum 24.
- 2
38616 is composite. Its prime factorisation is
- 3
The divisors add up to 96600; without 38616 itself that is 57984, so 38616 is abundant (57984 is more than 38616). Euler's totient φ(38616) = 12864 numbers up to 38616 share no factor with it.
- 4
The digits of 38616 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38616 = 2^{3} \times 3 \times 1609 \]38616 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 96600 |
| Euler totient φ(n) | 12864 |
| Square | 1491195456 |
| Cube | 57584003728896 |
| Square root | 196.509542 (= 2√9654) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 106 |
| Scientific notation | 3.8616 × |
38616 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand six hundred and sixteen |
| Binary (base 2) | 1001011011011000 |
| Octal (base 8) | 113330 |
| Hexadecimal (base 16) | 96D8 |
| Base 3 | 1221222020 |
| As time | 38616 seconds = 10 h 43 min 36 s |
Is 38616 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38616 ÷ 2 = 19308) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38616 ÷ 3 = 12872) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (38616 ÷ 4 = 9654) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (38616 ÷ 6 = 6436) | 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 (38616 ÷ 8 = 4827) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (38616 ÷ 12 = 3218) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38616 a prime number?
No. 38616 = × 3 × 1609, so it is divisible by 2.
What are the factors of 38616?
1, 2, 3, 4, 6, 8, 12, 24, 1609, 3218, 4827, 6436, 9654, 12872, 19308, 38616.
What is 38616 in binary?
1001011011011000 (hexadecimal 96D8, octal 113330).
What is the square root of 38616?
About 196.5095, exactly 2√9654.
Is 38616 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 38616?
38616 is a Harshad number: divisible by its digit sum 24.