The number 16742
16742 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 761. Divisors (8): 1, 2, 11, 22, 761, 1522, 8371, 16742.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16742 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16742 is composite. Its prime factorisation is
- 3
The divisors add up to 27432; without 16742 itself that is 10690, so 16742 is deficient (10690 is less than 16742). Euler's totient φ(16742) = 7600 numbers up to 16742 share no factor with it.
- 4
The digits of 16742 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16742 = 2 \times 11 \times 761 \]
16742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 27432 |
| Euler totient φ(n) | 7600 |
| Square | 280294564 |
| Cube | 4692691590488 |
| Square root | 129.390881 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 40 |
| Scientific notation | 1.6742 × |
16742 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand seven hundred and forty-two |
| Binary (base 2) | 100000101100110 |
| Octal (base 8) | 40546 |
| Hexadecimal (base 16) | 4166 |
| Base 3 | 211222002 |
| As time | 16742 seconds = 4 h 39 min 2 s |
Is 16742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16742 ÷ 2 = 8371) | 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 | No (remainder 5) | 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 | No (remainder 2) | 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 | Yes (16742 ÷ 11 = 1522) | 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 16742 a prime number?
No. 16742 = 2 × 11 × 761, so it is divisible by 2.
What are the factors of 16742?
1, 2, 11, 22, 761, 1522, 8371, 16742.
What is 16742 in binary?
100000101100110 (hexadecimal 4166, octal 40546).
What is the square root of 16742?
About 129.3909.
Is 16742 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 16742?
It is a composite number with 8 divisors.