The number 16107
16107 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 13 × 59. Divisors (16): 1, 3, 7, 13, 21, 39, 59, 91, 177, 273, 413, 767, 1239, 2301, 5369, 16107.
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How to work it out
- 1
16107 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16107 is composite. Its prime factorisation is
- 3
The divisors add up to 26880; without 16107 itself that is 10773, so 16107 is deficient (10773 is less than 16107). Euler's totient φ(16107) = 8352 numbers up to 16107 share no factor with it.
- 4
The digits of 16107 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16107 = 3 \times 7 \times 13 \times 59 \]
16107 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 26880 |
| Euler totient φ(n) | 8352 |
| Square | 259435449 |
| Cube | 4178726777043 |
| Square root | 126.913356 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.6107 × |
16107 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand one hundred and seven |
| Binary (base 2) | 11111011101011 |
| Octal (base 8) | 37353 |
| Hexadecimal (base 16) | 3EEB |
| Base 3 | 211002120 |
| As time | 16107 seconds = 4 h 28 min 27 s |
Is 16107 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 (16107 ÷ 3 = 5369) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 | Yes (16107 ÷ 7 = 2301) | 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 3) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16107 a prime number?
No. 16107 = 3 × 7 × 13 × 59, so it is divisible by 3.
What are the factors of 16107?
1, 3, 7, 13, 21, 39, 59, 91, 177, 273, 413, 767, 1239, 2301, 5369, 16107.
What is 16107 in binary?
11111011101011 (hexadecimal 3EEB, octal 37353).
What is the square root of 16107?
About 126.9134.
Is 16107 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 16107?
It is a composite number with 16 divisors.