The number 4840
4840 is a composite number with 24 divisors. Its prime factorisation is × 5 × . Divisors (24): 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 121, 220 … 4840.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4840 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4840 is composite. Its prime factorisation is
- 3
The divisors add up to 11970; without 4840 itself that is 7130, so 4840 is abundant (7130 is more than 4840). Euler's totient φ(4840) = 1760 numbers up to 4840 share no factor with it.
- 4
The digits of 4840 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 20 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4840 = 2^{3} \times 5 \times 11^{2} \]4840 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 11970 |
| Euler totient φ(n) | 1760 |
| Square | 23425600 |
| Cube | 113379904000 |
| Square root | 69.570109 (= 22√10) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 20 |
| Scientific notation | 4.84 × |
4840 in other forms
| Form | Value |
|---|---|
| In words | four thousand eight hundred and forty |
| Binary (base 2) | 1001011101000 |
| Octal (base 8) | 11350 |
| Hexadecimal (base 16) | 12E8 |
| Base 3 | 20122021 |
| As time | 4840 seconds = 1 h 20 min 40 s |
Is 4840 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4840 ÷ 2 = 2420) | 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 (4840 ÷ 4 = 1210) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (4840 ÷ 5 = 968) | 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 (4840 ÷ 8 = 605) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (4840 ÷ 10 = 484) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (4840 ÷ 11 = 440) | 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 4840 a prime number?
No. 4840 = × 5 × , so it is divisible by 2.
What are the factors of 4840?
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 121, 220, 242, 440, 484, 605, 968, 1210, 2420, 4840.
What is 4840 in binary?
1001011101000 (hexadecimal 12E8, octal 11350).
What is the square root of 4840?
About 69.5701, exactly 22√10.
Is 4840 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 4840?
It is a composite number with 24 divisors.