The number 4772
4772 is a composite number with 6 divisors. Its prime factorisation is × 1193. Divisors (6): 1, 2, 4, 1193, 2386, 4772.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4772 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4772 is composite. Its prime factorisation is
- 3
The divisors add up to 8358; without 4772 itself that is 3586, so 4772 is deficient (3586 is less than 4772). Euler's totient φ(4772) = 2384 numbers up to 4772 share no factor with it.
- 4
The digits of 4772 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 103 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4772 = 2^{2} \times 1193 \]4772 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 8358 |
| Euler totient φ(n) | 2384 |
| Square | 22771984 |
| Cube | 108667907648 |
| Square root | 69.079664 (= 2√1193) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 103 |
| Scientific notation | 4.772 × |
4772 in other forms
| Form | Value |
|---|---|
| In words | four thousand seven hundred and seventy-two |
| Binary (base 2) | 1001010100100 |
| Octal (base 8) | 11244 |
| Hexadecimal (base 16) | 12A4 |
| Base 3 | 20112202 |
| As time | 4772 seconds = 1 h 19 min 32 s |
Is 4772 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4772 ÷ 2 = 2386) | 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 (4772 ÷ 4 = 1193) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 4772 a prime number?
No. 4772 = × 1193, so it is divisible by 2.
What are the factors of 4772?
1, 2, 4, 1193, 2386, 4772.
What is 4772 in binary?
1001010100100 (hexadecimal 12A4, octal 11244).
What is the square root of 4772?
About 69.0797, exactly 2√1193.
Is 4772 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 4772?
It is a composite number with 6 divisors.