The number 6920
6920 is a composite number with 16 divisors. Its prime factorisation is × 5 × 173. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 173, 346, 692, 865, 1384, 1730, 3460, 6920.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6920 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6920 is composite. Its prime factorisation is
- 3
The divisors add up to 15660; without 6920 itself that is 8740, so 6920 is abundant (8740 is more than 6920). Euler's totient φ(6920) = 2752 numbers up to 6920 share no factor with it.
- 4
The digits of 6920 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6920 = 2^{3} \times 5 \times 173 \]6920 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 15660 |
| Euler totient φ(n) | 2752 |
| Square | 47886400 |
| Cube | 331373888000 |
| Square root | 83.186537 (= 2√1730) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 150 |
| Scientific notation | 6.92 × |
6920 in other forms
| Form | Value |
|---|---|
| In words | six thousand nine hundred and twenty |
| Binary (base 2) | 1101100001000 |
| Octal (base 8) | 15410 |
| Hexadecimal (base 16) | 1B08 |
| Base 3 | 100111022 |
| As time | 6920 seconds = 1 h 55 min 20 s |
Is 6920 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6920 ÷ 2 = 3460) | 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 | Yes (6920 ÷ 4 = 1730) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (6920 ÷ 5 = 1384) | 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 | Yes (6920 ÷ 8 = 865) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (6920 ÷ 10 = 692) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6920 a prime number?
No. 6920 = × 5 × 173, so it is divisible by 2.
What are the factors of 6920?
1, 2, 4, 5, 8, 10, 20, 40, 173, 346, 692, 865, 1384, 1730, 3460, 6920.
What is 6920 in binary?
1101100001000 (hexadecimal 1B08, octal 15410).
What is the square root of 6920?
About 83.1865, exactly 2√1730.
Is 6920 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 6920?
It is a composite number with 16 divisors.