The number 38402
38402 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 13 × 211. Divisors (16): 1, 2, 7, 13, 14, 26, 91, 182, 211, 422, 1477, 2743, 2954, 5486, 19201, 38402.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38402 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38402 is composite. Its prime factorisation is
- 3
The divisors add up to 71232; without 38402 itself that is 32830, so 38402 is deficient (32830 is less than 38402). Euler's totient φ(38402) = 15120 numbers up to 38402 share no factor with it.
- 4
The digits of 38402 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38402 = 2 \times 7 \times 13 \times 211 \]
38402 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 71232 |
| Euler totient φ(n) | 15120 |
| Square | 1474713604 |
| Cube | 56631951820808 |
| Square root | 195.964282 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 168 |
| Scientific notation | 3.8402 × |
38402 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand four hundred and two |
| Binary (base 2) | 1001011000000010 |
| Octal (base 8) | 113002 |
| Hexadecimal (base 16) | 9602 |
| Base 3 | 1221200022 |
| As time | 38402 seconds = 10 h 40 min 2 s |
Is 38402 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38402 ÷ 2 = 19201) | 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 | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (38402 ÷ 7 = 5486) | 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 8) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38402 a prime number?
No. 38402 = 2 × 7 × 13 × 211, so it is divisible by 2.
What are the factors of 38402?
1, 2, 7, 13, 14, 26, 91, 182, 211, 422, 1477, 2743, 2954, 5486, 19201, 38402.
What is 38402 in binary?
1001011000000010 (hexadecimal 9602, octal 113002).
What is the square root of 38402?
About 195.9643.
Is 38402 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 38402?
It is a composite number with 16 divisors.