The number 38610
38610 is a composite number with 64 divisors. Its prime factorisation is 2 × × 5 × 11 × 13. Divisors (64): 1, 2, 3, 5, 6, 9, 10, 11, 13, 15, 18, 22, 26, 27, 30, 33 … 38610.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38610: a Harshad number: divisible by its digit sum 18.
- 2
38610 is composite. Its prime factorisation is
- 3
The divisors add up to 120960; without 38610 itself that is 82350, so 38610 is abundant (82350 is more than 38610). Euler's totient φ(38610) = 8640 numbers up to 38610 share no factor with it.
- 4
The digits of 38610 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38610 = 2 \times 3^{3} \times 5 \times 11 \times 13 \]38610 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 120960 |
| Euler totient φ(n) | 8640 |
| Square | 1490732100 |
| Cube | 57557166381000 |
| Square root | 196.494275 (= 3√4290) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.861 × |
38610 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand six hundred and ten |
| Binary (base 2) | 1001011011010010 |
| Octal (base 8) | 113322 |
| Hexadecimal (base 16) | 96D2 |
| Base 3 | 1221222000 |
| As time | 38610 seconds = 10 h 43 min 30 s |
Is 38610 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38610 ÷ 2 = 19305) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38610 ÷ 3 = 12870) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (38610 ÷ 5 = 7722) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (38610 ÷ 6 = 6435) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (38610 ÷ 9 = 4290) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (38610 ÷ 10 = 3861) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (38610 ÷ 11 = 3510) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38610 a prime number?
No. 38610 = 2 × × 5 × 11 × 13, so it is divisible by 2.
What are the factors of 38610?
1, 2, 3, 5, 6, 9, 10, 11, 13, 15, 18, 22, 26, 27, 30, 33, 39, 45, 54, 55, 65, 66, 78, 90, 99, 110, 117, 130, 135, 143, 165, 195, 198, 234, 270, 286, 297, 330, 351, 390, 429, 495, 585, 594, 702, 715, 858, 990, 1170, 1287, 1430, 1485, 1755, 2145, 2574, 2970, 3510, 3861, 4290, 6435, 7722, 12870, 19305, 38610.
What is 38610 in binary?
1001011011010010 (hexadecimal 96D2, octal 113322).
What is the square root of 38610?
About 196.4943, exactly 3√4290.
Is 38610 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 38610?
38610 is a Harshad number: divisible by its digit sum 18.