The number 9064
9064 is a composite number with 16 divisors. Its prime factorisation is × 11 × 103. Divisors (16): 1, 2, 4, 8, 11, 22, 44, 88, 103, 206, 412, 824, 1133, 2266, 4532, 9064.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9064: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
9064 is composite. Its prime factorisation is
- 3
The divisors add up to 18720; without 9064 itself that is 9656, so 9064 is abundant (9656 is more than 9064). Euler's totient φ(9064) = 4080 numbers up to 9064 share no factor with it.
- 4
The digits of 9064 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9064 = 2^{3} \times 11 \times 103 \]9064 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 18720 |
| Euler totient φ(n) | 4080 |
| Square | 82156096 |
| Cube | 744662854144 |
| Square root | 95.205042 (= 2√2266) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 65 |
| Scientific notation | 9.064 × |
9064 in other forms
| Form | Value |
|---|---|
| In words | nine thousand and sixty-four |
| Binary (base 2) | 10001101101000 |
| Octal (base 8) | 21550 |
| Hexadecimal (base 16) | 2368 |
| Base 3 | 110102201 |
| As time | 9064 seconds = 2 h 31 min 4 s |
Is 9064 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9064 ÷ 2 = 4532) | 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 (9064 ÷ 4 = 2266) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 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 | Yes (9064 ÷ 8 = 1133) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (9064 ÷ 11 = 824) | 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 9064 a prime number?
No. 9064 = × 11 × 103, so it is divisible by 2.
What are the factors of 9064?
1, 2, 4, 8, 11, 22, 44, 88, 103, 206, 412, 824, 1133, 2266, 4532, 9064.
What is 9064 in binary?
10001101101000 (hexadecimal 2368, octal 21550).
What is the square root of 9064?
About 95.2050, exactly 2√2266.
Is 9064 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 9064?
9064 is a happy number: repeatedly adding the squares of its digits reaches 1.