The number 38010
38010 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 5 × 7 × 181. Divisors (32): 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 181 … 38010.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38010 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38010 is composite. Its prime factorisation is
- 3
The divisors add up to 104832; without 38010 itself that is 66822, so 38010 is abundant (66822 is more than 38010). Euler's totient φ(38010) = 8640 numbers up to 38010 share no factor with it.
- 4
The digits of 38010 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38010 = 2 \times 3 \times 5 \times 7 \times 181 \]
38010 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 104832 |
| Euler totient φ(n) | 8640 |
| Square | 1444760100 |
| Cube | 54915331401000 |
| Square root | 194.961535 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 168 |
| Scientific notation | 3.801 × |
38010 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand and ten |
| Binary (base 2) | 1001010001111010 |
| Octal (base 8) | 112172 |
| Hexadecimal (base 16) | 947A |
| Base 3 | 1221010210 |
| As time | 38010 seconds = 10 h 33 min 30 s |
Is 38010 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38010 ÷ 2 = 19005) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38010 ÷ 3 = 12670) | 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 (38010 ÷ 5 = 7602) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (38010 ÷ 6 = 6335) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (38010 ÷ 7 = 5430) | 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 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (38010 ÷ 10 = 3801) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 38010 a prime number?
No. 38010 = 2 × 3 × 5 × 7 × 181, so it is divisible by 2.
What are the factors of 38010?
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 181, 210, 362, 543, 905, 1086, 1267, 1810, 2534, 2715, 3801, 5430, 6335, 7602, 12670, 19005, 38010.
What is 38010 in binary?
1001010001111010 (hexadecimal 947A, octal 112172).
What is the square root of 38010?
About 194.9615.
Is 38010 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 38010?
It is a composite number with 32 divisors.