The number 4940
4940 is a composite number with 24 divisors. Its prime factorisation is × 5 × 13 × 19. Divisors (24): 1, 2, 4, 5, 10, 13, 19, 20, 26, 38, 52, 65, 76, 95, 130, 190 … 4940.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4940 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4940 is composite. Its prime factorisation is
- 3
The divisors add up to 11760; without 4940 itself that is 6820, so 4940 is abundant (6820 is more than 4940). Euler's totient φ(4940) = 1728 numbers up to 4940 share no factor with it.
- 4
The digits of 4940 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 134 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4940 = 2^{2} \times 5 \times 13 \times 19 \]4940 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 11760 |
| Euler totient φ(n) | 1728 |
| Square | 24403600 |
| Cube | 120553784000 |
| Square root | 70.285134 (= 2√1235) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 134 |
| Scientific notation | 4.94 × |
4940 in other forms
| Form | Value |
|---|---|
| In words | four thousand nine hundred and forty |
| Binary (base 2) | 1001101001100 |
| Octal (base 8) | 11514 |
| Hexadecimal (base 16) | 134C |
| Base 3 | 20202222 |
| As time | 4940 seconds = 1 h 22 min 20 s |
Is 4940 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4940 ÷ 2 = 2470) | 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 (4940 ÷ 4 = 1235) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (4940 ÷ 5 = 988) | 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 5) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (4940 ÷ 10 = 494) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 4940 a prime number?
No. 4940 = × 5 × 13 × 19, so it is divisible by 2.
What are the factors of 4940?
1, 2, 4, 5, 10, 13, 19, 20, 26, 38, 52, 65, 76, 95, 130, 190, 247, 260, 380, 494, 988, 1235, 2470, 4940.
What is 4940 in binary?
1001101001100 (hexadecimal 134C, octal 11514).
What is the square root of 4940?
About 70.2851, exactly 2√1235.
Is 4940 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 4940?
It is a composite number with 24 divisors.