The number 17112
17112 is a composite number with 32 divisors. Its prime factorisation is × 3 × 23 × 31. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 23, 24, 31, 46, 62, 69, 92, 93, 124 … 17112.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17112: a Harshad number: divisible by its digit sum 12.
- 2
17112 is composite. Its prime factorisation is
- 3
The divisors add up to 46080; without 17112 itself that is 28968, so 17112 is abundant (28968 is more than 17112). Euler's totient φ(17112) = 5280 numbers up to 17112 share no factor with it.
- 4
The digits of 17112 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 79 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17112 = 2^{3} \times 3 \times 23 \times 31 \]17112 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 46080 |
| Euler totient φ(n) | 5280 |
| Square | 292820544 |
| Cube | 5010745148928 |
| Square root | 130.812843 (= 2√4278) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 79 |
| Scientific notation | 1.7112 × |
17112 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand one hundred and twelve |
| Binary (base 2) | 100001011011000 |
| Octal (base 8) | 41330 |
| Hexadecimal (base 16) | 42D8 |
| Base 3 | 212110210 |
| As time | 17112 seconds = 4 h 45 min 12 s |
Is 17112 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17112 ÷ 2 = 8556) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (17112 ÷ 3 = 5704) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (17112 ÷ 4 = 4278) | 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 | Yes (17112 ÷ 6 = 2852) | 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 | Yes (17112 ÷ 8 = 2139) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (17112 ÷ 12 = 1426) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17112 a prime number?
No. 17112 = × 3 × 23 × 31, so it is divisible by 2.
What are the factors of 17112?
1, 2, 3, 4, 6, 8, 12, 23, 24, 31, 46, 62, 69, 92, 93, 124, 138, 184, 186, 248, 276, 372, 552, 713, 744, 1426, 2139, 2852, 4278, 5704, 8556, 17112.
What is 17112 in binary?
100001011011000 (hexadecimal 42D8, octal 41330).
What is the square root of 17112?
About 130.8128, exactly 2√4278.
Is 17112 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 17112?
17112 is a Harshad number: divisible by its digit sum 12.