The number 9078
9078 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 17 × 89. Divisors (16): 1, 2, 3, 6, 17, 34, 51, 89, 102, 178, 267, 534, 1513, 3026, 4539, 9078.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9078 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9078 is composite. Its prime factorisation is
- 3
The divisors add up to 19440; without 9078 itself that is 10362, so 9078 is abundant (10362 is more than 9078). Euler's totient φ(9078) = 2816 numbers up to 9078 share no factor with it.
- 4
The digits of 9078 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 184 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9078 = 2 \times 3 \times 17 \times 89 \]
9078 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 19440 |
| Euler totient φ(n) | 2816 |
| Square | 82410084 |
| Cube | 748118742552 |
| Square root | 95.278539 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 184 |
| Scientific notation | 9.078 × |
9078 in other forms
| Form | Value |
|---|---|
| In words | nine thousand and seventy-eight |
| Binary (base 2) | 10001101110110 |
| Octal (base 8) | 21566 |
| Hexadecimal (base 16) | 2376 |
| Base 3 | 110110020 |
| As time | 9078 seconds = 2 h 31 min 18 s |
Is 9078 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9078 ÷ 2 = 4539) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9078 ÷ 3 = 3026) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (9078 ÷ 6 = 1513) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9078 a prime number?
No. 9078 = 2 × 3 × 17 × 89, so it is divisible by 2.
What are the factors of 9078?
1, 2, 3, 6, 17, 34, 51, 89, 102, 178, 267, 534, 1513, 3026, 4539, 9078.
What is 9078 in binary?
10001101110110 (hexadecimal 2376, octal 21566).
What is the square root of 9078?
About 95.2785.
Is 9078 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 9078?
It is a composite number with 16 divisors.