The number 6940
6940 is a composite number with 12 divisors. Its prime factorisation is × 5 × 347. Divisors (12): 1, 2, 4, 5, 10, 20, 347, 694, 1388, 1735, 3470, 6940.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6940: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
6940 is composite. Its prime factorisation is
- 3
The divisors add up to 14616; without 6940 itself that is 7676, so 6940 is abundant (7676 is more than 6940). Euler's totient φ(6940) = 2768 numbers up to 6940 share no factor with it.
- 4
The digits of 6940 add up to 19, 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.
LaTeX source of the formulas on this page
\[ 6940 = 2^{2} \times 5 \times 347 \]6940 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 14616 |
| Euler totient φ(n) | 2768 |
| Square | 48163600 |
| Cube | 334255384000 |
| Square root | 83.306662 (= 2√1735) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 106 |
| Scientific notation | 6.94 × |
6940 in other forms
| Form | Value |
|---|---|
| In words | six thousand nine hundred and forty |
| Binary (base 2) | 1101100011100 |
| Octal (base 8) | 15434 |
| Hexadecimal (base 16) | 1B1C |
| Base 3 | 100112001 |
| As time | 6940 seconds = 1 h 55 min 40 s |
Is 6940 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6940 ÷ 2 = 3470) | 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 | Yes (6940 ÷ 4 = 1735) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (6940 ÷ 5 = 1388) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 4) | 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 | Yes (6940 ÷ 10 = 694) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6940 a prime number?
No. 6940 = × 5 × 347, so it is divisible by 2.
What are the factors of 6940?
1, 2, 4, 5, 10, 20, 347, 694, 1388, 1735, 3470, 6940.
What is 6940 in binary?
1101100011100 (hexadecimal 1B1C, octal 15434).
What is the square root of 6940?
About 83.3067, exactly 2√1735.
Is 6940 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 6940?
6940 is a happy number: repeatedly adding the squares of its digits reaches 1.