The number 17161
17161 is a perfect square (131²). Its prime factorisation is . Divisors (3): 1, 131, 17161.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17161: a perfect square (131²); the square of a prime (131²).
- 2
17161 is composite. Its prime factorisation is
- 3
The divisors add up to 17293; without 17161 itself that is 132, so 17161 is deficient (132 is less than 17161). Euler's totient φ(17161) = 17030 numbers up to 17161 share no factor with it.
- 4
The digits of 17161 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 172 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17161 = 131^{2} \]17161 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 3 |
| Sum of divisors | 17293 |
| Euler totient φ(n) | 17030 |
| Square | 294499921 |
| Cube | 5053913144281 |
| Square root | 131 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 172 |
| Scientific notation | 1.7161 × |
| Perfect power |
17161 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand one hundred and sixty-one |
| Binary (base 2) | 100001100001001 |
| Octal (base 8) | 41411 |
| Hexadecimal (base 16) | 4309 |
| Base 3 | 212112121 |
| As time | 17161 seconds = 4 h 46 min 1 s |
Is 17161 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 1) | 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 4) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 17161 a prime number?
No. 17161 = , so it is divisible by 131.
What are the factors of 17161?
1, 131, 17161.
What is 17161 in binary?
100001100001001 (hexadecimal 4309, octal 41411).
What is the square root of 17161?
131, because 131 × 131 = 17161.
Is 17161 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 17161?
17161 is a perfect square (131²); the square of a prime (131²).