The number 16137
16137 is a composite number with 12 divisors. Its prime factorisation is × 11 × 163. Divisors (12): 1, 3, 9, 11, 33, 99, 163, 489, 1467, 1793, 5379, 16137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16137 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16137 is composite. Its prime factorisation is
- 3
The divisors add up to 25584; without 16137 itself that is 9447, so 16137 is deficient (9447 is less than 16137). Euler's totient φ(16137) = 9720 numbers up to 16137 share no factor with it.
- 4
The digits of 16137 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 190 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16137 = 3^{2} \times 11 \times 163 \]16137 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 25584 |
| Euler totient φ(n) | 9720 |
| Square | 260402769 |
| Cube | 4202119483353 |
| Square root | 127.031492 (= 3√1793) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 190 |
| Scientific notation | 1.6137 × |
16137 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand one hundred and thirty-seven |
| Binary (base 2) | 11111100001001 |
| Octal (base 8) | 37411 |
| Hexadecimal (base 16) | 3F09 |
| Base 3 | 211010200 |
| As time | 16137 seconds = 4 h 28 min 57 s |
Is 16137 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16137 ÷ 3 = 5379) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (16137 ÷ 9 = 1793) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (16137 ÷ 11 = 1467) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16137 a prime number?
No. 16137 = × 11 × 163, so it is divisible by 3.
What are the factors of 16137?
1, 3, 9, 11, 33, 99, 163, 489, 1467, 1793, 5379, 16137.
What is 16137 in binary?
11111100001001 (hexadecimal 3F09, octal 37411).
What is the square root of 16137?
About 127.0315, exactly 3√1793.
Is 16137 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 16137?
It is a composite number with 12 divisors.