The number 9040
9040 is a composite number with 20 divisors. Its prime factorisation is × 5 × 113. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 113, 226, 452, 565, 904, 1130 … 9040.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9040: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
9040 is composite. Its prime factorisation is
- 3
The divisors add up to 21204; without 9040 itself that is 12164, so 9040 is abundant (12164 is more than 9040). Euler's totient φ(9040) = 3584 numbers up to 9040 share no factor with it.
- 4
The digits of 9040 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 21 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9040 = 2^{4} \times 5 \times 113 \]9040 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 21204 |
| Euler totient φ(n) | 3584 |
| Square | 81721600 |
| Cube | 738763264000 |
| Square root | 95.078915 (= 4√565) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 21 |
| Scientific notation | 9.04 × |
9040 in other forms
| Form | Value |
|---|---|
| In words | nine thousand and forty |
| Binary (base 2) | 10001101010000 |
| Octal (base 8) | 21520 |
| Hexadecimal (base 16) | 2350 |
| Base 3 | 110101211 |
| As time | 9040 seconds = 2 h 30 min 40 s |
Is 9040 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9040 ÷ 2 = 4520) | 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 (9040 ÷ 4 = 2260) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (9040 ÷ 5 = 1808) | 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 3) | 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 (9040 ÷ 8 = 1130) | 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 | Yes (9040 ÷ 10 = 904) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 9040 a prime number?
No. 9040 = × 5 × 113, so it is divisible by 2.
What are the factors of 9040?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 113, 226, 452, 565, 904, 1130, 1808, 2260, 4520, 9040.
What is 9040 in binary?
10001101010000 (hexadecimal 2350, octal 21520).
What is the square root of 9040?
About 95.0789, exactly 4√565.
Is 9040 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 9040?
9040 is a happy number: repeatedly adding the squares of its digits reaches 1.