The number 16674
16674 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 397. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 397, 794, 1191, 2382, 2779, 5558, 8337, 16674.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16674 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16674 is composite. Its prime factorisation is
- 3
The divisors add up to 38208; without 16674 itself that is 21534, so 16674 is abundant (21534 is more than 16674). Euler's totient φ(16674) = 4752 numbers up to 16674 share no factor with it.
- 4
The digits of 16674 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16674 = 2 \times 3 \times 7 \times 397 \]
16674 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 38208 |
| Euler totient φ(n) | 4752 |
| Square | 278022276 |
| Cube | 4635743430024 |
| Square root | 129.127844 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 159 |
| Scientific notation | 1.6674 × |
16674 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand six hundred and seventy-four |
| Binary (base 2) | 100000100100010 |
| Octal (base 8) | 40442 |
| Hexadecimal (base 16) | 4122 |
| Base 3 | 211212120 |
| As time | 16674 seconds = 4 h 37 min 54 s |
Is 16674 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16674 ÷ 2 = 8337) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16674 ÷ 3 = 5558) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (16674 ÷ 6 = 2779) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (16674 ÷ 7 = 2382) | 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 4) | 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 16674 a prime number?
No. 16674 = 2 × 3 × 7 × 397, so it is divisible by 2.
What are the factors of 16674?
1, 2, 3, 6, 7, 14, 21, 42, 397, 794, 1191, 2382, 2779, 5558, 8337, 16674.
What is 16674 in binary?
100000100100010 (hexadecimal 4122, octal 40442).
What is the square root of 16674?
About 129.1278.
Is 16674 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 16674?
It is a composite number with 16 divisors.