The number 4672
4672 is a composite number with 14 divisors. Its prime factorisation is × 73. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 73, 146, 292, 584, 1168, 2336, 4672.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4672 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4672 is composite. Its prime factorisation is
- 3
The divisors add up to 9398; without 4672 itself that is 4726, so 4672 is abundant (4726 is more than 4672). Euler's totient φ(4672) = 2304 numbers up to 4672 share no factor with it.
- 4
The digits of 4672 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
\[ 4672 = 2^{6} \times 73 \]4672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 9398 |
| Euler totient φ(n) | 2304 |
| Square | 21827584 |
| Cube | 101978472448 |
| Square root | 68.352030 (= 8√73) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 121 |
| Scientific notation | 4.672 × |
4672 in other forms
| Form | Value |
|---|---|
| In words | four thousand six hundred and seventy-two |
| Binary (base 2) | 1001001000000 |
| Octal (base 8) | 11100 |
| Hexadecimal (base 16) | 1240 |
| Base 3 | 20102001 |
| As time | 4672 seconds = 1 h 17 min 52 s |
Is 4672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4672 ÷ 2 = 2336) | 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 (4672 ÷ 4 = 1168) | 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 | 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 | Yes (4672 ÷ 8 = 584) | 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 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 4672 a prime number?
No. 4672 = × 73, so it is divisible by 2.
What are the factors of 4672?
1, 2, 4, 8, 16, 32, 64, 73, 146, 292, 584, 1168, 2336, 4672.
What is 4672 in binary?
1001001000000 (hexadecimal 1240, octal 11100).
What is the square root of 4672?
About 68.3520, exactly 8√73.
Is 4672 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 4672?
It is a composite number with 14 divisors.