The number 6955
6955 is a composite number with 8 divisors. Its prime factorisation is 5 × 13 × 107. Divisors (8): 1, 5, 13, 65, 107, 535, 1391, 6955.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6955: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
6955 is composite. Its prime factorisation is
- 3
The divisors add up to 9072; without 6955 itself that is 2117, so 6955 is deficient (2117 is less than 6955). Euler's totient φ(6955) = 5088 numbers up to 6955 share no factor with it.
- 4
The digits of 6955 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 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6955 = 5 \times 13 \times 107 \]
6955 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 9072 |
| Euler totient φ(n) | 5088 |
| Square | 48372025 |
| Cube | 336427433875 |
| Square root | 83.396643 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 150 |
| Scientific notation | 6.955 × |
6955 in other forms
| Form | Value |
|---|---|
| In words | six thousand nine hundred and fifty-five |
| Binary (base 2) | 1101100101011 |
| Octal (base 8) | 15453 |
| Hexadecimal (base 16) | 1B2B |
| Base 3 | 100112121 |
| As time | 6955 seconds = 1 h 55 min 55 s |
Is 6955 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 | Yes (6955 ÷ 5 = 1391) | 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 4) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 6955 a prime number?
No. 6955 = 5 × 13 × 107, so it is divisible by 5.
What are the factors of 6955?
1, 5, 13, 65, 107, 535, 1391, 6955.
What is 6955 in binary?
1101100101011 (hexadecimal 1B2B, octal 15453).
What is the square root of 6955?
About 83.3966.
Is 6955 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 6955?
6955 is a happy number: repeatedly adding the squares of its digits reaches 1.