The number 38802
38802 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 29 × 223. Divisors (16): 1, 2, 3, 6, 29, 58, 87, 174, 223, 446, 669, 1338, 6467, 12934, 19401, 38802.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38802 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38802 is composite. Its prime factorisation is
- 3
The divisors add up to 80640; without 38802 itself that is 41838, so 38802 is abundant (41838 is more than 38802). Euler's totient φ(38802) = 12432 numbers up to 38802 share no factor with it.
- 4
The digits of 38802 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 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38802 = 2 \times 3 \times 29 \times 223 \]
38802 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 80640 |
| Euler totient φ(n) | 12432 |
| Square | 1505595204 |
| Cube | 58420105105608 |
| Square root | 196.982233 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 137 |
| Scientific notation | 3.8802 × |
38802 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand eight hundred and two |
| Binary (base 2) | 1001011110010010 |
| Octal (base 8) | 113622 |
| Hexadecimal (base 16) | 9792 |
| Base 3 | 1222020010 |
| As time | 38802 seconds = 10 h 46 min 42 s |
Is 38802 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38802 ÷ 2 = 19401) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38802 ÷ 3 = 12934) | 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 (38802 ÷ 6 = 6467) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | No (remainder 2) | 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 38802 a prime number?
No. 38802 = 2 × 3 × 29 × 223, so it is divisible by 2.
What are the factors of 38802?
1, 2, 3, 6, 29, 58, 87, 174, 223, 446, 669, 1338, 6467, 12934, 19401, 38802.
What is 38802 in binary?
1001011110010010 (hexadecimal 9792, octal 113622).
What is the square root of 38802?
About 196.9822.
Is 38802 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 38802?
It is a composite number with 16 divisors.