The number 16974
16974 is a composite number with 24 divisors. Its prime factorisation is 2 × × 23 × 41. Divisors (24): 1, 2, 3, 6, 9, 18, 23, 41, 46, 69, 82, 123, 138, 207, 246, 369 … 16974.
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How to work it out
- 1
16974 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16974 is composite. Its prime factorisation is
- 3
The divisors add up to 39312; without 16974 itself that is 22338, so 16974 is abundant (22338 is more than 16974). Euler's totient φ(16974) = 5280 numbers up to 16974 share no factor with it.
- 4
The digits of 16974 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 141 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16974 = 2 \times 3^{2} \times 23 \times 41 \]16974 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 39312 |
| Euler totient φ(n) | 5280 |
| Square | 288116676 |
| Cube | 4890492458424 |
| Square root | 130.284305 (= 3√1886) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 141 |
| Scientific notation | 1.6974 × |
16974 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand nine hundred and seventy-four |
| Binary (base 2) | 100001001001110 |
| Octal (base 8) | 41116 |
| Hexadecimal (base 16) | 424E |
| Base 3 | 212021200 |
| As time | 16974 seconds = 4 h 42 min 54 s |
Is 16974 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16974 ÷ 2 = 8487) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16974 ÷ 3 = 5658) | 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 (16974 ÷ 6 = 2829) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (16974 ÷ 9 = 1886) | 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 1) | 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 16974 a prime number?
No. 16974 = 2 × × 23 × 41, so it is divisible by 2.
What are the factors of 16974?
1, 2, 3, 6, 9, 18, 23, 41, 46, 69, 82, 123, 138, 207, 246, 369, 414, 738, 943, 1886, 2829, 5658, 8487, 16974.
What is 16974 in binary?
100001001001110 (hexadecimal 424E, octal 41116).
What is the square root of 16974?
About 130.2843, exactly 3√1886.
Is 16974 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 16974?
It is a composite number with 24 divisors.