The number 9440
9440 is a composite number with 24 divisors. Its prime factorisation is × 5 × 59. Divisors (24): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 59, 80, 118, 160, 236, 295 … 9440.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9440 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9440 is composite. Its prime factorisation is
- 3
The divisors add up to 22680; without 9440 itself that is 13240, so 9440 is abundant (13240 is more than 9440). Euler's totient φ(9440) = 3712 numbers up to 9440 share no factor with it.
- 4
The digits of 9440 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9440 = 2^{5} \times 5 \times 59 \]9440 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 22680 |
| Euler totient φ(n) | 3712 |
| Square | 89113600 |
| Cube | 841232384000 |
| Square root | 97.159662 (= 4√590) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 60 |
| Scientific notation | 9.44 × |
9440 in other forms
| Form | Value |
|---|---|
| In words | nine thousand four hundred and forty |
| Binary (base 2) | 10010011100000 |
| Octal (base 8) | 22340 |
| Hexadecimal (base 16) | 24E0 |
| Base 3 | 110221122 |
| As time | 9440 seconds = 2 h 37 min 20 s |
Is 9440 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9440 ÷ 2 = 4720) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9440 ÷ 4 = 2360) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (9440 ÷ 5 = 1888) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 (9440 ÷ 8 = 1180) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (9440 ÷ 10 = 944) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9440 a prime number?
No. 9440 = × 5 × 59, so it is divisible by 2.
What are the factors of 9440?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 59, 80, 118, 160, 236, 295, 472, 590, 944, 1180, 1888, 2360, 4720, 9440.
What is 9440 in binary?
10010011100000 (hexadecimal 24E0, octal 22340).
What is the square root of 9440?
About 97.1597, exactly 4√590.
Is 9440 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 9440?
It is a composite number with 24 divisors.