The number 6672
6672 is a composite number with 20 divisors. Its prime factorisation is × 3 × 139. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 139, 278, 417, 556, 834, 1112 … 6672.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6672 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6672 is composite. Its prime factorisation is
- 3
The divisors add up to 17360; without 6672 itself that is 10688, so 6672 is abundant (10688 is more than 6672). Euler's totient φ(6672) = 2208 numbers up to 6672 share no factor with it.
- 4
The digits of 6672 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6672 = 2^{4} \times 3 \times 139 \]6672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 17360 |
| Euler totient φ(n) | 2208 |
| Square | 44515584 |
| Cube | 297007976448 |
| Square root | 81.682311 (= 4√417) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 137 |
| Scientific notation | 6.672 × |
6672 in other forms
| Form | Value |
|---|---|
| In words | six thousand six hundred and seventy-two |
| Binary (base 2) | 1101000010000 |
| Octal (base 8) | 15020 |
| Hexadecimal (base 16) | 1A10 |
| Base 3 | 100011010 |
| As time | 6672 seconds = 1 h 51 min 12 s |
Is 6672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6672 ÷ 2 = 3336) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (6672 ÷ 3 = 2224) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (6672 ÷ 4 = 1668) | 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 | Yes (6672 ÷ 6 = 1112) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (6672 ÷ 8 = 834) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 | Yes (6672 ÷ 12 = 556) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6672 a prime number?
No. 6672 = × 3 × 139, so it is divisible by 2.
What are the factors of 6672?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 139, 278, 417, 556, 834, 1112, 1668, 2224, 3336, 6672.
What is 6672 in binary?
1101000010000 (hexadecimal 1A10, octal 15020).
What is the square root of 6672?
About 81.6823, exactly 4√417.
Is 6672 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 6672?
It is a composite number with 20 divisors.