The number 4880
4880 is a composite number with 20 divisors. Its prime factorisation is × 5 × 61. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 61, 80, 122, 244, 305, 488, 610 … 4880.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4880: a Harshad number: divisible by its digit sum 20.
- 2
4880 is composite. Its prime factorisation is
- 3
The divisors add up to 11532; without 4880 itself that is 6652, so 4880 is abundant (6652 is more than 4880). Euler's totient φ(4880) = 1920 numbers up to 4880 share no factor with it.
- 4
The digits of 4880 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4880 = 2^{4} \times 5 \times 61 \]4880 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 11532 |
| Euler totient φ(n) | 1920 |
| Square | 23814400 |
| Cube | 116214272000 |
| Square root | 69.856997 (= 4√305) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 41 |
| Scientific notation | 4.88 × |
4880 in other forms
| Form | Value |
|---|---|
| In words | four thousand eight hundred and eighty |
| Binary (base 2) | 1001100010000 |
| Octal (base 8) | 11420 |
| Hexadecimal (base 16) | 1310 |
| Base 3 | 20200202 |
| As time | 4880 seconds = 1 h 21 min 20 s |
Is 4880 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4880 ÷ 2 = 2440) | 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 (4880 ÷ 4 = 1220) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (4880 ÷ 5 = 976) | 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 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 | Yes (4880 ÷ 8 = 610) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (4880 ÷ 10 = 488) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4880 a prime number?
No. 4880 = × 5 × 61, so it is divisible by 2.
What are the factors of 4880?
1, 2, 4, 5, 8, 10, 16, 20, 40, 61, 80, 122, 244, 305, 488, 610, 976, 1220, 2440, 4880.
What is 4880 in binary?
1001100010000 (hexadecimal 1310, octal 11420).
What is the square root of 4880?
About 69.8570, exactly 4√305.
Is 4880 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 4880?
4880 is a Harshad number: divisible by its digit sum 20.