The number 16988
16988 is a composite number with 12 divisors. Its prime factorisation is × 31 × 137. Divisors (12): 1, 2, 4, 31, 62, 124, 137, 274, 548, 4247, 8494, 16988.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16988 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16988 is composite. Its prime factorisation is
- 3
The divisors add up to 30912; without 16988 itself that is 13924, so 16988 is deficient (13924 is less than 16988). Euler's totient φ(16988) = 8160 numbers up to 16988 share no factor with it.
- 4
The digits of 16988 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 35 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16988 = 2^{2} \times 31 \times 137 \]16988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 30912 |
| Euler totient φ(n) | 8160 |
| Square | 288592144 |
| Cube | 4902603342272 |
| Square root | 130.338022 (= 2√4247) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 35 |
| Scientific notation | 1.6988 × |
16988 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand nine hundred and eighty-eight |
| Binary (base 2) | 100001001011100 |
| Octal (base 8) | 41134 |
| Hexadecimal (base 16) | 425C |
| Base 3 | 212022012 |
| As time | 16988 seconds = 4 h 43 min 8 s |
Is 16988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16988 ÷ 2 = 8494) | 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 (16988 ÷ 4 = 4247) | 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 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 4) | 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 16988 a prime number?
No. 16988 = × 31 × 137, so it is divisible by 2.
What are the factors of 16988?
1, 2, 4, 31, 62, 124, 137, 274, 548, 4247, 8494, 16988.
What is 16988 in binary?
100001001011100 (hexadecimal 425C, octal 41134).
What is the square root of 16988?
About 130.3380, exactly 2√4247.
Is 16988 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 16988?
It is a composite number with 12 divisors.