The number 8672
8672 is a composite number with 12 divisors. Its prime factorisation is × 271. Divisors (12): 1, 2, 4, 8, 16, 32, 271, 542, 1084, 2168, 4336, 8672.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8672 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8672 is composite. Its prime factorisation is
- 3
The divisors add up to 17136; without 8672 itself that is 8464, so 8672 is deficient (8464 is less than 8672). Euler's totient φ(8672) = 4320 numbers up to 8672 share no factor with it.
- 4
The digits of 8672 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8672 = 2^{5} \times 271 \]8672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 17136 |
| Euler totient φ(n) | 4320 |
| Square | 75203584 |
| Cube | 652165480448 |
| Square root | 93.123574 (= 4√542) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 47 |
| Scientific notation | 8.672 × |
8672 in other forms
| Form | Value |
|---|---|
| In words | eight thousand six hundred and seventy-two |
| Binary (base 2) | 10000111100000 |
| Octal (base 8) | 20740 |
| Hexadecimal (base 16) | 21E0 |
| Base 3 | 102220012 |
| As time | 8672 seconds = 2 h 24 min 32 s |
Is 8672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8672 ÷ 2 = 4336) | 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 (8672 ÷ 4 = 2168) | 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 (8672 ÷ 8 = 1084) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 4) | 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 8672 a prime number?
No. 8672 = × 271, so it is divisible by 2.
What are the factors of 8672?
1, 2, 4, 8, 16, 32, 271, 542, 1084, 2168, 4336, 8672.
What is 8672 in binary?
10000111100000 (hexadecimal 21E0, octal 20740).
What is the square root of 8672?
About 93.1236, exactly 4√542.
Is 8672 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 8672?
It is a composite number with 12 divisors.