The number 9940
9940 is a composite number with 24 divisors. Its prime factorisation is × 5 × 7 × 71. Divisors (24): 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 71, 140, 142, 284, 355 … 9940.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9940 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9940 is composite. Its prime factorisation is
- 3
The divisors add up to 24192; without 9940 itself that is 14252, so 9940 is abundant (14252 is more than 9940). Euler's totient φ(9940) = 3360 numbers up to 9940 share no factor with it.
- 4
The digits of 9940 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9940 = 2^{2} \times 5 \times 7 \times 71 \]9940 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 24192 |
| Euler totient φ(n) | 3360 |
| Square | 98803600 |
| Cube | 982107784000 |
| Square root | 99.699549 (= 2√2485) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 91 |
| Scientific notation | 9.94 × |
9940 in other forms
| Form | Value |
|---|---|
| In words | nine thousand nine hundred and forty |
| Binary (base 2) | 10011011010100 |
| Octal (base 8) | 23324 |
| Hexadecimal (base 16) | 26D4 |
| Base 3 | 111122011 |
| As time | 9940 seconds = 2 h 45 min 40 s |
Is 9940 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9940 ÷ 2 = 4970) | 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 (9940 ÷ 4 = 2485) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (9940 ÷ 5 = 1988) | 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 | Yes (9940 ÷ 7 = 1420) | 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 4) | 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 (9940 ÷ 10 = 994) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 9940 a prime number?
No. 9940 = × 5 × 7 × 71, so it is divisible by 2.
What are the factors of 9940?
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 71, 140, 142, 284, 355, 497, 710, 994, 1420, 1988, 2485, 4970, 9940.
What is 9940 in binary?
10011011010100 (hexadecimal 26D4, octal 23324).
What is the square root of 9940?
About 99.6995, exactly 2√2485.
Is 9940 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 9940?
It is a composite number with 24 divisors.