The number 4770
4770 is a composite number with 24 divisors. Its prime factorisation is 2 × × 5 × 53. Divisors (24): 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 53, 90, 106, 159, 265 … 4770.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4770: a Harshad number: divisible by its digit sum 18.
- 2
4770 is composite. Its prime factorisation is
- 3
The divisors add up to 12636; without 4770 itself that is 7866, so 4770 is abundant (7866 is more than 4770). Euler's totient φ(4770) = 1248 numbers up to 4770 share no factor with it.
- 4
The digits of 4770 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 103 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4770 = 2 \times 3^{2} \times 5 \times 53 \]4770 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 12636 |
| Euler totient φ(n) | 1248 |
| Square | 22752900 |
| Cube | 108531333000 |
| Square root | 69.065187 (= 3√530) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 103 |
| Scientific notation | 4.77 × |
4770 in other forms
| Form | Value |
|---|---|
| In words | four thousand seven hundred and seventy |
| Binary (base 2) | 1001010100010 |
| Octal (base 8) | 11242 |
| Hexadecimal (base 16) | 12A2 |
| Base 3 | 20112200 |
| As time | 4770 seconds = 1 h 19 min 30 s |
Is 4770 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4770 ÷ 2 = 2385) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4770 ÷ 3 = 1590) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (4770 ÷ 5 = 954) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (4770 ÷ 6 = 795) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (4770 ÷ 9 = 530) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (4770 ÷ 10 = 477) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4770 a prime number?
No. 4770 = 2 × × 5 × 53, so it is divisible by 2.
What are the factors of 4770?
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 53, 90, 106, 159, 265, 318, 477, 530, 795, 954, 1590, 2385, 4770.
What is 4770 in binary?
1001010100010 (hexadecimal 12A2, octal 11242).
What is the square root of 4770?
About 69.0652, exactly 3√530.
Is 4770 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 4770?
4770 is a Harshad number: divisible by its digit sum 18.