The number 9112
9112 is a composite number with 16 divisors. Its prime factorisation is × 17 × 67. Divisors (16): 1, 2, 4, 8, 17, 34, 67, 68, 134, 136, 268, 536, 1139, 2278, 4556, 9112.
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How to work it out
- 1
9112 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9112 is composite. Its prime factorisation is
- 3
The divisors add up to 18360; without 9112 itself that is 9248, so 9112 is abundant (9248 is more than 9112). Euler's totient φ(9112) = 4224 numbers up to 9112 share no factor with it.
- 4
The digits of 9112 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 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9112 = 2^{3} \times 17 \times 67 \]9112 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 18360 |
| Euler totient φ(n) | 4224 |
| Square | 83028544 |
| Cube | 756556092928 |
| Square root | 95.456797 (= 2√2278) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 60 |
| Scientific notation | 9.112 × |
9112 in other forms
| Form | Value |
|---|---|
| In words | nine thousand one hundred and twelve |
| Binary (base 2) | 10001110011000 |
| Octal (base 8) | 21630 |
| Hexadecimal (base 16) | 2398 |
| Base 3 | 110111111 |
| As time | 9112 seconds = 2 h 31 min 52 s |
Is 9112 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9112 ÷ 2 = 4556) | 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 | Yes (9112 ÷ 4 = 2278) | 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 4) | 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 | Yes (9112 ÷ 8 = 1139) | 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 2) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9112 a prime number?
No. 9112 = × 17 × 67, so it is divisible by 2.
What are the factors of 9112?
1, 2, 4, 8, 17, 34, 67, 68, 134, 136, 268, 536, 1139, 2278, 4556, 9112.
What is 9112 in binary?
10001110011000 (hexadecimal 2398, octal 21630).
What is the square root of 9112?
About 95.4568, exactly 2√2278.
Is 9112 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 9112?
It is a composite number with 16 divisors.