The number 4732
4732 is a composite number with 18 divisors. Its prime factorisation is × 7 × . Divisors (18): 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 169, 182, 338, 364, 676, 1183 … 4732.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4732 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4732 is composite. Its prime factorisation is
- 3
The divisors add up to 10248; without 4732 itself that is 5516, so 4732 is abundant (5516 is more than 4732). Euler's totient φ(4732) = 1872 numbers up to 4732 share no factor with it.
- 4
The digits of 4732 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 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4732 = 2^{2} \times 7 \times 13^{2} \]4732 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 10248 |
| Euler totient φ(n) | 1872 |
| Square | 22391824 |
| Cube | 105958111168 |
| Square root | 68.789534 (= 26√7) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 90 |
| Scientific notation | 4.732 × |
4732 in other forms
| Form | Value |
|---|---|
| In words | four thousand seven hundred and thirty-two |
| Binary (base 2) | 1001001111100 |
| Octal (base 8) | 11174 |
| Hexadecimal (base 16) | 127C |
| Base 3 | 20111021 |
| As time | 4732 seconds = 1 h 18 min 52 s |
Is 4732 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4732 ÷ 2 = 2366) | 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 (4732 ÷ 4 = 1183) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (4732 ÷ 7 = 676) | 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 7) | 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 2) | 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 4732 a prime number?
No. 4732 = × 7 × , so it is divisible by 2.
What are the factors of 4732?
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 169, 182, 338, 364, 676, 1183, 2366, 4732.
What is 4732 in binary?
1001001111100 (hexadecimal 127C, octal 11174).
What is the square root of 4732?
About 68.7895, exactly 26√7.
Is 4732 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 4732?
It is a composite number with 18 divisors.