The number 38460
38460 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 641. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 641, 1282, 1923, 2564 … 38460.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38460 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38460 is composite. Its prime factorisation is
- 3
The divisors add up to 107856; without 38460 itself that is 69396, so 38460 is abundant (69396 is more than 38460). Euler's totient φ(38460) = 10240 numbers up to 38460 share no factor with it.
- 4
The digits of 38460 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 124 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38460 = 2^{2} \times 3 \times 5 \times 641 \]38460 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 107856 |
| Euler totient φ(n) | 10240 |
| Square | 1479171600 |
| Cube | 56888939736000 |
| Square root | 196.112213 (= 2√9615) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 124 |
| Scientific notation | 3.846 × |
38460 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand four hundred and sixty |
| Binary (base 2) | 1001011000111100 |
| Octal (base 8) | 113074 |
| Hexadecimal (base 16) | 963C |
| Base 3 | 1221202110 |
| As time | 38460 seconds = 10 h 41 min 0 s |
Is 38460 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38460 ÷ 2 = 19230) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38460 ÷ 3 = 12820) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (38460 ÷ 4 = 9615) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (38460 ÷ 5 = 7692) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (38460 ÷ 6 = 6410) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 4) | 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 (38460 ÷ 10 = 3846) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (38460 ÷ 12 = 3205) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38460 a prime number?
No. 38460 = × 3 × 5 × 641, so it is divisible by 2.
What are the factors of 38460?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 641, 1282, 1923, 2564, 3205, 3846, 6410, 7692, 9615, 12820, 19230, 38460.
What is 38460 in binary?
1001011000111100 (hexadecimal 963C, octal 113074).
What is the square root of 38460?
About 196.1122, exactly 2√9615.
Is 38460 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 38460?
It is a composite number with 24 divisors.