The number 16948
16948 is a composite number with 12 divisors. Its prime factorisation is × 19 × 223. Divisors (12): 1, 2, 4, 19, 38, 76, 223, 446, 892, 4237, 8474, 16948.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16948 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16948 is composite. Its prime factorisation is
- 3
The divisors add up to 31360; without 16948 itself that is 14412, so 16948 is deficient (14412 is less than 16948). Euler's totient φ(16948) = 7992 numbers up to 16948 share no factor with it.
- 4
The digits of 16948 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 35 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16948 = 2^{2} \times 19 \times 223 \]16948 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 31360 |
| Euler totient φ(n) | 7992 |
| Square | 287234704 |
| Cube | 4868053763392 |
| Square root | 130.184484 (= 2√4237) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 35 |
| Scientific notation | 1.6948 × |
16948 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand nine hundred and forty-eight |
| Binary (base 2) | 100001000110100 |
| Octal (base 8) | 41064 |
| Hexadecimal (base 16) | 4234 |
| Base 3 | 212020201 |
| As time | 16948 seconds = 4 h 42 min 28 s |
Is 16948 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16948 ÷ 2 = 8474) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (16948 ÷ 4 = 4237) | 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 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16948 a prime number?
No. 16948 = × 19 × 223, so it is divisible by 2.
What are the factors of 16948?
1, 2, 4, 19, 38, 76, 223, 446, 892, 4237, 8474, 16948.
What is 16948 in binary?
100001000110100 (hexadecimal 4234, octal 41064).
What is the square root of 16948?
About 130.1845, exactly 2√4237.
Is 16948 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 16948?
It is a composite number with 12 divisors.