The number 16542
16542 is a composite number with 12 divisors. Its prime factorisation is 2 × × 919. Divisors (12): 1, 2, 3, 6, 9, 18, 919, 1838, 2757, 5514, 8271, 16542.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16542: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
16542 is composite. Its prime factorisation is
- 3
The divisors add up to 35880; without 16542 itself that is 19338, so 16542 is abundant (19338 is more than 16542). Euler's totient φ(16542) = 5508 numbers up to 16542 share no factor with it.
- 4
The digits of 16542 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 97 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16542 = 2 \times 3^{2} \times 919 \]16542 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 35880 |
| Euler totient φ(n) | 5508 |
| Square | 273637764 |
| Cube | 4526515892088 |
| Square root | 128.615707 (= 3√1838) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 97 |
| Scientific notation | 1.6542 × |
16542 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand five hundred and forty-two |
| Binary (base 2) | 100000010011110 |
| Octal (base 8) | 40236 |
| Hexadecimal (base 16) | 409E |
| Base 3 | 211200200 |
| As time | 16542 seconds = 4 h 35 min 42 s |
Is 16542 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16542 ÷ 2 = 8271) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16542 ÷ 3 = 5514) | 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 (16542 ÷ 6 = 2757) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (16542 ÷ 9 = 1838) | 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 9) | 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 16542 a prime number?
No. 16542 = 2 × × 919, so it is divisible by 2.
What are the factors of 16542?
1, 2, 3, 6, 9, 18, 919, 1838, 2757, 5514, 8271, 16542.
What is 16542 in binary?
100000010011110 (hexadecimal 409E, octal 40236).
What is the square root of 16542?
About 128.6157, exactly 3√1838.
Is 16542 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 16542?
16542 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.