The number 6667
6667 is a binary palindrome (1101000001011). Its prime factorisation is 59 × 113. Divisors (4): 1, 59, 113, 6667.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6667: a binary palindrome (1101000001011); a semiprime: 59 × 113, the product of two primes.
- 2
6667 is composite. Its prime factorisation is
- 3
The divisors add up to 6840; without 6667 itself that is 173, so 6667 is deficient (173 is less than 6667). Euler's totient φ(6667) = 6496 numbers up to 6667 share no factor with it.
- 4
The digits of 6667 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6667 = 59 \times 113 \]
6667 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 6840 |
| Euler totient φ(n) | 6496 |
| Square | 44448889 |
| Cube | 296340742963 |
| Square root | 81.651699 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 181 |
| Scientific notation | 6.667 × |
6667 in other forms
| Form | Value |
|---|---|
| In words | six thousand six hundred and sixty-seven |
| Binary (base 2) | 1101000001011 |
| Octal (base 8) | 15013 |
| Hexadecimal (base 16) | 1A0B |
| Base 3 | 100010221 |
| As time | 6667 seconds = 1 h 51 min 7 s |
Is 6667 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 3) | 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 1) | 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 | No (remainder 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6667 a prime number?
No. 6667 = 59 × 113, so it is divisible by 59.
What are the factors of 6667?
1, 59, 113, 6667.
What is 6667 in binary?
1101000001011 (hexadecimal 1A0B, octal 15013).
What is the square root of 6667?
About 81.6517.
Is 6667 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 6667?
6667 is a binary palindrome (1101000001011); a semiprime: 59 × 113, the product of two primes.