The number 6959
6959 is a twin prime (6959 and 6961 are both prime) and the 893rd prime number. Its only divisors are 1 and 6959.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6959: a twin prime (6959 and 6961 are both prime); the 893rd prime number.
- 2
6959 is prime, so its only factors are 1 and 6959. It is the 893rd prime; the next prime is 6961 and the one before is 6949.
- 3
The divisors add up to 6960; without 6959 itself that is 1, so 6959 is deficient (1 is less than 6959). Euler's totient φ(6959) = 6958 numbers up to 6959 share no factor with it.
- 4
The digits of 6959 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
6959 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 6960 |
| Euler totient φ(n) | 6958 |
| Square | 48427681 |
| Cube | 337008232079 |
| Square root | 83.420621 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 88 |
| Scientific notation | 6.959 × |
6959 in other forms
| Form | Value |
|---|---|
| In words | six thousand nine hundred and fifty-nine |
| Binary (base 2) | 1101100101111 |
| Octal (base 8) | 15457 |
| Hexadecimal (base 16) | 1B2F |
| Base 3 | 100112202 |
| As time | 6959 seconds = 1 h 55 min 59 s |
Is 6959 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 3) | 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 5) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6959 a prime number?
Yes. 6959 is divisible only by 1 and itself.
What are the factors of 6959?
1, 6959.
What is 6959 in binary?
1101100101111 (hexadecimal 1B2F, octal 15457).
What is the square root of 6959?
About 83.4206.
Is 6959 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 6959?
6959 is a twin prime (6959 and 6961 are both prime); the 893rd prime number.