The number 16129
16129 is a perfect square (127²). Its prime factorisation is . Divisors (3): 1, 127, 16129.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16129: a perfect square (127²); the square of a prime (127²).
- 2
16129 is composite. Its prime factorisation is
- 3
The divisors add up to 16257; without 16129 itself that is 128, so 16129 is deficient (128 is less than 16129). Euler's totient φ(16129) = 16002 numbers up to 16129 share no factor with it.
- 4
The digits of 16129 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16129 = 127^{2} \]16129 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 3 |
| Sum of divisors | 16257 |
| Euler totient φ(n) | 16002 |
| Square | 260144641 |
| Cube | 4195872914689 |
| Square root | 127 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 71 |
| Scientific notation | 1.6129 × |
| Perfect power |
16129 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand one hundred and twenty-nine |
| Binary (base 2) | 11111100000001 |
| Octal (base 8) | 37401 |
| Hexadecimal (base 16) | 3F01 |
| Base 3 | 211010101 |
| As time | 16129 seconds = 4 h 28 min 49 s |
Is 16129 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 | No (remainder 1) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16129 a prime number?
No. 16129 = , so it is divisible by 127.
What are the factors of 16129?
1, 127, 16129.
What is 16129 in binary?
11111100000001 (hexadecimal 3F01, octal 37401).
What is the square root of 16129?
127, because 127 × 127 = 16129.
Is 16129 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 16129?
16129 is a perfect square (127²); the square of a prime (127²).