The number 38502
38502 is a composite number with 32 divisors. Its prime factorisation is 2 × × 23 × 31. Divisors (32): 1, 2, 3, 6, 9, 18, 23, 27, 31, 46, 54, 62, 69, 93, 138, 186 … 38502.
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How to work it out
- 1
What is special about 38502: a Harshad number: divisible by its digit sum 18.
- 2
38502 is composite. Its prime factorisation is
- 3
The divisors add up to 92160; without 38502 itself that is 53658, so 38502 is abundant (53658 is more than 38502). Euler's totient φ(38502) = 11880 numbers up to 38502 share no factor with it.
- 4
The digits of 38502 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
\[ 38502 = 2 \times 3^{3} \times 23 \times 31 \]38502 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 92160 |
| Euler totient φ(n) | 11880 |
| Square | 1482404004 |
| Cube | 57075518962008 |
| Square root | 196.219265 (= 3√4278) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.8502 × |
38502 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand five hundred and two |
| Binary (base 2) | 1001011001100110 |
| Octal (base 8) | 113146 |
| Hexadecimal (base 16) | 9666 |
| Base 3 | 1221211000 |
| As time | 38502 seconds = 10 h 41 min 42 s |
Is 38502 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38502 ÷ 2 = 19251) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38502 ÷ 3 = 12834) | 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 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (38502 ÷ 6 = 6417) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (38502 ÷ 9 = 4278) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 38502 a prime number?
No. 38502 = 2 × × 23 × 31, so it is divisible by 2.
What are the factors of 38502?
1, 2, 3, 6, 9, 18, 23, 27, 31, 46, 54, 62, 69, 93, 138, 186, 207, 279, 414, 558, 621, 713, 837, 1242, 1426, 1674, 2139, 4278, 6417, 12834, 19251, 38502.
What is 38502 in binary?
1001011001100110 (hexadecimal 9666, octal 113146).
What is the square root of 38502?
About 196.2193, exactly 3√4278.
Is 38502 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 38502?
38502 is a Harshad number: divisible by its digit sum 18.