The number 4472
4472 is a composite number with 16 divisors. Its prime factorisation is × 13 × 43. Divisors (16): 1, 2, 4, 8, 13, 26, 43, 52, 86, 104, 172, 344, 559, 1118, 2236, 4472.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4472 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4472 is composite. Its prime factorisation is
- 3
The divisors add up to 9240; without 4472 itself that is 4768, so 4472 is abundant (4768 is more than 4472). Euler's totient φ(4472) = 2016 numbers up to 4472 share no factor with it.
- 4
The digits of 4472 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4472 = 2^{3} \times 13 \times 43 \]4472 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 9240 |
| Euler totient φ(n) | 2016 |
| Square | 19998784 |
| Cube | 89434562048 |
| Square root | 66.873014 (= 2√1118) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 90 |
| Scientific notation | 4.472 × |
4472 in other forms
| Form | Value |
|---|---|
| In words | four thousand four hundred and seventy-two |
| Binary (base 2) | 1000101111000 |
| Octal (base 8) | 10570 |
| Hexadecimal (base 16) | 1178 |
| Base 3 | 20010122 |
| As time | 4472 seconds = 1 h 14 min 32 s |
Is 4472 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4472 ÷ 2 = 2236) | 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 (4472 ÷ 4 = 1118) | 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 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 | Yes (4472 ÷ 8 = 559) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 6) | 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 4472 a prime number?
No. 4472 = × 13 × 43, so it is divisible by 2.
What are the factors of 4472?
1, 2, 4, 8, 13, 26, 43, 52, 86, 104, 172, 344, 559, 1118, 2236, 4472.
What is 4472 in binary?
1000101111000 (hexadecimal 1178, octal 10570).
What is the square root of 4472?
About 66.8730, exactly 2√1118.
Is 4472 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 4472?
It is a composite number with 16 divisors.