The number 3101
3101 is a composite number with 4 divisors. Its prime factorisation is 7 × 443. Divisors (4): 1, 7, 443, 3101.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3101: a semiprime: 7 × 443, the product of two primes.
- 2
3101 is composite. Its prime factorisation is
- 3
The divisors add up to 3552; without 3101 itself that is 451, so 3101 is deficient (451 is less than 3101). Euler's totient φ(3101) = 2652 numbers up to 3101 share no factor with it.
- 4
The digits of 3101 add up to 5, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 154 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3101 = 7 \times 443 \]
3101 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 3552 |
| Euler totient φ(n) | 2652 |
| Square | 9616201 |
| Cube | 29819839301 |
| Square root | 55.686623 |
| Digit sum / digital root | 5 / 5 |
| Collatz steps to 1 | 154 |
| Scientific notation | 3.101 × |
3101 in other forms
| Form | Value |
|---|---|
| In words | three thousand one hundred and one |
| Roman numerals | MMMCI |
| Binary (base 2) | 110000011101 |
| Octal (base 8) | 6035 |
| Hexadecimal (base 16) | C1D |
| Base 3 | 11020212 |
| As time | 3101 seconds = 51 min 41 s |
Is 3101 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (3101 ÷ 7 = 443) | 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 5) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3101 a prime number?
No. 3101 = 7 × 443, so it is divisible by 7.
What are the factors of 3101?
1, 7, 443, 3101.
What is 3101 in binary?
110000011101 (hexadecimal C1D, octal 6035).
What is the square root of 3101?
About 55.6866.
What is 3101 in Roman numerals?
MMMCI.
Is 3101 divisible by 3?
No. Its digits add up to 5, which is not a multiple of 3.
What is special about the number 3101?
3101 is a semiprime: 7 × 443, the product of two primes.