The number 16748
16748 is a composite number with 12 divisors. Its prime factorisation is × 53 × 79. Divisors (12): 1, 2, 4, 53, 79, 106, 158, 212, 316, 4187, 8374, 16748.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16748 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16748 is composite. Its prime factorisation is
- 3
The divisors add up to 30240; without 16748 itself that is 13492, so 16748 is deficient (13492 is less than 16748). Euler's totient φ(16748) = 8112 numbers up to 16748 share no factor with it.
- 4
The digits of 16748 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16748 = 2^{2} \times 53 \times 79 \]16748 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 30240 |
| Euler totient φ(n) | 8112 |
| Square | 280495504 |
| Cube | 4697738700992 |
| Square root | 129.414064 (= 2√4187) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.6748 × |
16748 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand seven hundred and forty-eight |
| Binary (base 2) | 100000101101100 |
| Octal (base 8) | 40554 |
| Hexadecimal (base 16) | 416C |
| Base 3 | 211222022 |
| As time | 16748 seconds = 4 h 39 min 8 s |
Is 16748 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16748 ÷ 2 = 8374) | 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 | Yes (16748 ÷ 4 = 4187) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 4) | 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 4) | 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 8) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16748 a prime number?
No. 16748 = × 53 × 79, so it is divisible by 2.
What are the factors of 16748?
1, 2, 4, 53, 79, 106, 158, 212, 316, 4187, 8374, 16748.
What is 16748 in binary?
100000101101100 (hexadecimal 416C, octal 40554).
What is the square root of 16748?
About 129.4141, exactly 2√4187.
Is 16748 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 16748?
It is a composite number with 12 divisors.