The number 38360
38360 is a composite number with 32 divisors. Its prime factorisation is × 5 × 7 × 137. Divisors (32): 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 137, 140 … 38360.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38360: a Harshad number: divisible by its digit sum 20.
- 2
38360 is composite. Its prime factorisation is
- 3
The divisors add up to 99360; without 38360 itself that is 61000, so 38360 is abundant (61000 is more than 38360). Euler's totient φ(38360) = 13056 numbers up to 38360 share no factor with it.
- 4
The digits of 38360 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38360 = 2^{3} \times 5 \times 7 \times 137 \]38360 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 99360 |
| Euler totient φ(n) | 13056 |
| Square | 1471489600 |
| Cube | 56446341056000 |
| Square root | 195.857091 (= 2√9590) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 168 |
| Scientific notation | 3.836 × |
38360 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand three hundred and sixty |
| Binary (base 2) | 1001010111011000 |
| Octal (base 8) | 112730 |
| Hexadecimal (base 16) | 95D8 |
| Base 3 | 1221121202 |
| As time | 38360 seconds = 10 h 39 min 20 s |
Is 38360 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38360 ÷ 2 = 19180) | 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 (38360 ÷ 4 = 9590) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (38360 ÷ 5 = 7672) | 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 | Yes (38360 ÷ 7 = 5480) | 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 (38360 ÷ 8 = 4795) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (38360 ÷ 10 = 3836) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 38360 a prime number?
No. 38360 = × 5 × 7 × 137, so it is divisible by 2.
What are the factors of 38360?
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 137, 140, 274, 280, 548, 685, 959, 1096, 1370, 1918, 2740, 3836, 4795, 5480, 7672, 9590, 19180, 38360.
What is 38360 in binary?
1001010111011000 (hexadecimal 95D8, octal 112730).
What is the square root of 38360?
About 195.8571, exactly 2√9590.
Is 38360 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 38360?
38360 is a Harshad number: divisible by its digit sum 20.