The number 6901
6901 is a composite number with 4 divisors. Its prime factorisation is 67 × 103. Divisors (4): 1, 67, 103, 6901.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6901: a semiprime: 67 × 103, the product of two primes.
- 2
6901 is composite. Its prime factorisation is
- 3
The divisors add up to 7072; without 6901 itself that is 171, so 6901 is deficient (171 is less than 6901). Euler's totient φ(6901) = 6732 numbers up to 6901 share no factor with it.
- 4
The digits of 6901 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6901 = 67 \times 103 \]
6901 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 7072 |
| Euler totient φ(n) | 6732 |
| Square | 47623801 |
| Cube | 328651850701 |
| Square root | 83.072258 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 44 |
| Scientific notation | 6.901 × |
6901 in other forms
| Form | Value |
|---|---|
| In words | six thousand nine hundred and one |
| Binary (base 2) | 1101011110101 |
| Octal (base 8) | 15365 |
| Hexadecimal (base 16) | 1AF5 |
| Base 3 | 100110121 |
| As time | 6901 seconds = 1 h 55 min 1 s |
Is 6901 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 6) | 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 5) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6901 a prime number?
No. 6901 = 67 × 103, so it is divisible by 67.
What are the factors of 6901?
1, 67, 103, 6901.
What is 6901 in binary?
1101011110101 (hexadecimal 1AF5, octal 15365).
What is the square root of 6901?
About 83.0723.
Is 6901 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 6901?
6901 is a semiprime: 67 × 103, the product of two primes.