The number 6701
6701 is a twin prime (6701 and 6703 are both prime) and the 864th prime number. Its only divisors are 1 and 6701.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6701: a twin prime (6701 and 6703 are both prime); the 864th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
6701 is prime, so its only factors are 1 and 6701. It is the 864th prime; the next prime is 6703 and the one before is 6691.
- 3
The divisors add up to 6702; without 6701 itself that is 1, so 6701 is deficient (1 is less than 6701). Euler's totient φ(6701) = 6700 numbers up to 6701 share no factor with it.
- 4
The digits of 6701 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
6701 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 6702 |
| Euler totient φ(n) | 6700 |
| Square | 44903401 |
| Cube | 300897690101 |
| Square root | 81.859636 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 137 |
| Scientific notation | 6.701 × |
6701 in other forms
| Form | Value |
|---|---|
| In words | six thousand seven hundred and one |
| Binary (base 2) | 1101000101101 |
| Octal (base 8) | 15055 |
| Hexadecimal (base 16) | 1A2D |
| Base 3 | 100012012 |
| As time | 6701 seconds = 1 h 51 min 41 s |
Is 6701 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 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 5) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6701 a prime number?
Yes. 6701 is divisible only by 1 and itself.
What are the factors of 6701?
1, 6701.
What is 6701 in binary?
1101000101101 (hexadecimal 1A2D, octal 15055).
What is the square root of 6701?
About 81.8596.
Is 6701 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 6701?
6701 is a twin prime (6701 and 6703 are both prime); the 864th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.