The number 6700
6700 is a composite number with 18 divisors. Its prime factorisation is × × 67. Divisors (18): 1, 2, 4, 5, 10, 20, 25, 50, 67, 100, 134, 268, 335, 670, 1340, 1675 … 6700.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6700 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6700 is composite. Its prime factorisation is
- 3
The divisors add up to 14756; without 6700 itself that is 8056, so 6700 is abundant (8056 is more than 6700). Euler's totient φ(6700) = 2640 numbers up to 6700 share no factor with it.
- 4
The digits of 6700 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6700 = 2^{2} \times 5^{2} \times 67 \]6700 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 14756 |
| Euler totient φ(n) | 2640 |
| Square | 44890000 |
| Cube | 300763000000 |
| Square root | 81.853528 (= 10√67) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 137 |
| Scientific notation | 6.7 × |
6700 in other forms
| Form | Value |
|---|---|
| In words | six thousand seven hundred |
| Binary (base 2) | 1101000101100 |
| Octal (base 8) | 15054 |
| Hexadecimal (base 16) | 1A2C |
| Base 3 | 100012011 |
| As time | 6700 seconds = 1 h 51 min 40 s |
Is 6700 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6700 ÷ 2 = 3350) | 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 (6700 ÷ 4 = 1675) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (6700 ÷ 5 = 1340) | 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 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (6700 ÷ 10 = 670) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 6700 a prime number?
No. 6700 = × × 67, so it is divisible by 2.
What are the factors of 6700?
1, 2, 4, 5, 10, 20, 25, 50, 67, 100, 134, 268, 335, 670, 1340, 1675, 3350, 6700.
What is 6700 in binary?
1101000101100 (hexadecimal 1A2C, octal 15054).
What is the square root of 6700?
About 81.8535, exactly 10√67.
Is 6700 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 6700?
It is a composite number with 18 divisors.