The number 6710
6710 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 11 × 61. Divisors (16): 1, 2, 5, 10, 11, 22, 55, 61, 110, 122, 305, 610, 671, 1342, 3355, 6710.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6710: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
6710 is composite. Its prime factorisation is
- 3
The divisors add up to 13392; without 6710 itself that is 6682, so 6710 is deficient (6682 is less than 6710). Euler's totient φ(6710) = 2400 numbers up to 6710 share no factor with it.
- 4
The digits of 6710 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 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6710 = 2 \times 5 \times 11 \times 61 \]
6710 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 13392 |
| Euler totient φ(n) | 2400 |
| Square | 45024100 |
| Cube | 302111711000 |
| Square root | 81.914590 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 93 |
| Scientific notation | 6.71 × |
6710 in other forms
| Form | Value |
|---|---|
| In words | six thousand seven hundred and ten |
| Binary (base 2) | 1101000110110 |
| Octal (base 8) | 15066 |
| Hexadecimal (base 16) | 1A36 |
| Base 3 | 100012112 |
| As time | 6710 seconds = 1 h 51 min 50 s |
Is 6710 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6710 ÷ 2 = 3355) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (6710 ÷ 5 = 1342) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 6) | 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 | Yes (6710 ÷ 10 = 671) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (6710 ÷ 11 = 610) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6710 a prime number?
No. 6710 = 2 × 5 × 11 × 61, so it is divisible by 2.
What are the factors of 6710?
1, 2, 5, 10, 11, 22, 55, 61, 110, 122, 305, 610, 671, 1342, 3355, 6710.
What is 6710 in binary?
1101000110110 (hexadecimal 1A36, octal 15066).
What is the square root of 6710?
About 81.9146.
Is 6710 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 6710?
6710 is a happy number: repeatedly adding the squares of its digits reaches 1.