The number 4780
4780 is a composite number with 12 divisors. Its prime factorisation is × 5 × 239. Divisors (12): 1, 2, 4, 5, 10, 20, 239, 478, 956, 1195, 2390, 4780.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4780: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
4780 is composite. Its prime factorisation is
- 3
The divisors add up to 10080; without 4780 itself that is 5300, so 4780 is abundant (5300 is more than 4780). Euler's totient φ(4780) = 1904 numbers up to 4780 share no factor with it.
- 4
The digits of 4780 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 121 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4780 = 2^{2} \times 5 \times 239 \]4780 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 10080 |
| Euler totient φ(n) | 1904 |
| Square | 22848400 |
| Cube | 109215352000 |
| Square root | 69.137544 (= 2√1195) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 121 |
| Scientific notation | 4.78 × |
4780 in other forms
| Form | Value |
|---|---|
| In words | four thousand seven hundred and eighty |
| Binary (base 2) | 1001010101100 |
| Octal (base 8) | 11254 |
| Hexadecimal (base 16) | 12AC |
| Base 3 | 20120001 |
| As time | 4780 seconds = 1 h 19 min 40 s |
Is 4780 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4780 ÷ 2 = 2390) | 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 (4780 ÷ 4 = 1195) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (4780 ÷ 5 = 956) | 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 6) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (4780 ÷ 10 = 478) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 4780 a prime number?
No. 4780 = × 5 × 239, so it is divisible by 2.
What are the factors of 4780?
1, 2, 4, 5, 10, 20, 239, 478, 956, 1195, 2390, 4780.
What is 4780 in binary?
1001010101100 (hexadecimal 12AC, octal 11254).
What is the square root of 4780?
About 69.1375, exactly 2√1195.
Is 4780 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 4780?
4780 is a happy number: repeatedly adding the squares of its digits reaches 1.