The number 17131
17131 is a composite number with 4 divisors. Its prime factorisation is 37 × 463. Divisors (4): 1, 37, 463, 17131.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17131: a semiprime: 37 × 463, the product of two primes.
- 2
17131 is composite. Its prime factorisation is
- 3
The divisors add up to 17632; without 17131 itself that is 501, so 17131 is deficient (501 is less than 17131). Euler's totient φ(17131) = 16632 numbers up to 17131 share no factor with it.
- 4
The digits of 17131 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 141 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17131 = 37 \times 463 \]
17131 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 17632 |
| Euler totient φ(n) | 16632 |
| Square | 293471161 |
| Cube | 5027454459091 |
| Square root | 130.885446 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 141 |
| Scientific notation | 1.7131 × |
17131 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand one hundred and thirty-one |
| Binary (base 2) | 100001011101011 |
| Octal (base 8) | 41353 |
| Hexadecimal (base 16) | 42EB |
| Base 3 | 212111111 |
| As time | 17131 seconds = 4 h 45 min 31 s |
Is 17131 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 3) | 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17131 a prime number?
No. 17131 = 37 × 463, so it is divisible by 37.
What are the factors of 17131?
1, 37, 463, 17131.
What is 17131 in binary?
100001011101011 (hexadecimal 42EB, octal 41353).
What is the square root of 17131?
About 130.8854.
Is 17131 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 17131?
17131 is a semiprime: 37 × 463, the product of two primes.