The number 8940
8940 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 149. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 149, 298, 447, 596 … 8940.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8940 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8940 is composite. Its prime factorisation is
- 3
The divisors add up to 25200; without 8940 itself that is 16260, so 8940 is abundant (16260 is more than 8940). Euler's totient φ(8940) = 2368 numbers up to 8940 share no factor with it.
- 4
The digits of 8940 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8940 = 2^{2} \times 3 \times 5 \times 149 \]8940 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 25200 |
| Euler totient φ(n) | 2368 |
| Square | 79923600 |
| Cube | 714516984000 |
| Square root | 94.551573 (= 2√2235) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 47 |
| Scientific notation | 8.94 × |
8940 in other forms
| Form | Value |
|---|---|
| In words | eight thousand nine hundred and forty |
| Binary (base 2) | 10001011101100 |
| Octal (base 8) | 21354 |
| Hexadecimal (base 16) | 22EC |
| Base 3 | 110021010 |
| As time | 8940 seconds = 2 h 29 min 0 s |
Is 8940 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8940 ÷ 2 = 4470) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8940 ÷ 3 = 2980) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (8940 ÷ 4 = 2235) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (8940 ÷ 5 = 1788) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (8940 ÷ 6 = 1490) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (8940 ÷ 10 = 894) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (8940 ÷ 12 = 745) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8940 a prime number?
No. 8940 = × 3 × 5 × 149, so it is divisible by 2.
What are the factors of 8940?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 149, 298, 447, 596, 745, 894, 1490, 1788, 2235, 2980, 4470, 8940.
What is 8940 in binary?
10001011101100 (hexadecimal 22EC, octal 21354).
What is the square root of 8940?
About 94.5516, exactly 2√2235.
Is 8940 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 8940?
It is a composite number with 24 divisors.