The number 16242
16242 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 2707. Divisors (8): 1, 2, 3, 6, 2707, 5414, 8121, 16242.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16242 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16242 is composite. Its prime factorisation is
- 3
The divisors add up to 32496; without 16242 itself that is 16254, so 16242 is abundant (16254 is more than 16242). Euler's totient φ(16242) = 5412 numbers up to 16242 share no factor with it.
- 4
The digits of 16242 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16242 = 2 \times 3 \times 2707 \]
16242 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 32496 |
| Euler totient φ(n) | 5412 |
| Square | 263802564 |
| Cube | 4284681244488 |
| Square root | 127.444105 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 40 |
| Scientific notation | 1.6242 × |
16242 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand two hundred and forty-two |
| Binary (base 2) | 11111101110010 |
| Octal (base 8) | 37562 |
| Hexadecimal (base 16) | 3F72 |
| Base 3 | 211021120 |
| As time | 16242 seconds = 4 h 30 min 42 s |
Is 16242 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16242 ÷ 2 = 8121) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16242 ÷ 3 = 5414) | 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 (16242 ÷ 6 = 2707) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 6) | 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 16242 a prime number?
No. 16242 = 2 × 3 × 2707, so it is divisible by 2.
What are the factors of 16242?
1, 2, 3, 6, 2707, 5414, 8121, 16242.
What is 16242 in binary?
11111101110010 (hexadecimal 3F72, octal 37562).
What is the square root of 16242?
About 127.4441.
Is 16242 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 16242?
It is a composite number with 8 divisors.