The number 16077
16077 is a composite number with 8 divisors. Its prime factorisation is 3 × 23 × 233. Divisors (8): 1, 3, 23, 69, 233, 699, 5359, 16077.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16077 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16077 is composite. Its prime factorisation is
- 3
The divisors add up to 22464; without 16077 itself that is 6387, so 16077 is deficient (6387 is less than 16077). Euler's totient φ(16077) = 10208 numbers up to 16077 share no factor with it.
- 4
The digits of 16077 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 27 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16077 = 3 \times 23 \times 233 \]
16077 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 22464 |
| Euler totient φ(n) | 10208 |
| Square | 258469929 |
| Cube | 4155421048533 |
| Square root | 126.795110 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 27 |
| Scientific notation | 1.6077 × |
16077 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand and seventy-seven |
| Binary (base 2) | 11111011001101 |
| Octal (base 8) | 37315 |
| Hexadecimal (base 16) | 3ECD |
| Base 3 | 211001110 |
| As time | 16077 seconds = 4 h 27 min 57 s |
Is 16077 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 (16077 ÷ 3 = 5359) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 6) | 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 16077 a prime number?
No. 16077 = 3 × 23 × 233, so it is divisible by 3.
What are the factors of 16077?
1, 3, 23, 69, 233, 699, 5359, 16077.
What is 16077 in binary?
11111011001101 (hexadecimal 3ECD, octal 37315).
What is the square root of 16077?
About 126.7951.
Is 16077 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 16077?
It is a composite number with 8 divisors.