The number 16980
16980 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 283. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 283, 566, 849, 1132 … 16980.
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How to work it out
- 1
16980 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16980 is composite. Its prime factorisation is
- 3
The divisors add up to 47712; without 16980 itself that is 30732, so 16980 is abundant (30732 is more than 16980). Euler's totient φ(16980) = 4512 numbers up to 16980 share no factor with it.
- 4
The digits of 16980 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 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16980 = 2^{2} \times 3 \times 5 \times 283 \]16980 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 47712 |
| Euler totient φ(n) | 4512 |
| Square | 288320400 |
| Cube | 4895680392000 |
| Square root | 130.307329 (= 2√4245) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 128 |
| Scientific notation | 1.698 × |
16980 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand nine hundred and eighty |
| Binary (base 2) | 100001001010100 |
| Octal (base 8) | 41124 |
| Hexadecimal (base 16) | 4254 |
| Base 3 | 212021220 |
| As time | 16980 seconds = 4 h 43 min 0 s |
Is 16980 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16980 ÷ 2 = 8490) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16980 ÷ 3 = 5660) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (16980 ÷ 4 = 4245) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (16980 ÷ 5 = 3396) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (16980 ÷ 6 = 2830) | 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 4) | 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 | Yes (16980 ÷ 10 = 1698) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (16980 ÷ 12 = 1415) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16980 a prime number?
No. 16980 = × 3 × 5 × 283, so it is divisible by 2.
What are the factors of 16980?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 283, 566, 849, 1132, 1415, 1698, 2830, 3396, 4245, 5660, 8490, 16980.
What is 16980 in binary?
100001001010100 (hexadecimal 4254, octal 41124).
What is the square root of 16980?
About 130.3073, exactly 2√4245.
Is 16980 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 16980?
It is a composite number with 24 divisors.