The number 6949
6949 is a twin prime (6947 and 6949 are both prime) and the 892nd prime number. Its only divisors are 1 and 6949.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6949: a twin prime (6947 and 6949 are both prime); the 892nd prime number.
- 2
6949 is prime, so its only factors are 1 and 6949. It is the 892nd prime; the next prime is 6959 and the one before is 6947.
- 3
The divisors add up to 6950; without 6949 itself that is 1, so 6949 is deficient (1 is less than 6949). Euler's totient φ(6949) = 6948 numbers up to 6949 share no factor with it.
- 4
The digits of 6949 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
6949 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 6950 |
| Euler totient φ(n) | 6948 |
| Square | 48288601 |
| Cube | 335557488349 |
| Square root | 83.360662 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 106 |
| Scientific notation | 6.949 × |
6949 in other forms
| Form | Value |
|---|---|
| In words | six thousand nine hundred and forty-nine |
| Binary (base 2) | 1101100100101 |
| Octal (base 8) | 15445 |
| Hexadecimal (base 16) | 1B25 |
| Base 3 | 100112101 |
| As time | 6949 seconds = 1 h 55 min 49 s |
Is 6949 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 5) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6949 a prime number?
Yes. 6949 is divisible only by 1 and itself.
What are the factors of 6949?
1, 6949.
What is 6949 in binary?
1101100100101 (hexadecimal 1B25, octal 15445).
What is the square root of 6949?
About 83.3607.
Is 6949 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 6949?
6949 is a twin prime (6947 and 6949 are both prime); the 892nd prime number.