The number 31101
31101 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 1481. Divisors (8): 1, 3, 7, 21, 1481, 4443, 10367, 31101.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31101 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31101 is composite. Its prime factorisation is
- 3
The divisors add up to 47424; without 31101 itself that is 16323, so 31101 is deficient (16323 is less than 31101). Euler's totient φ(31101) = 17760 numbers up to 31101 share no factor with it.
- 4
The digits of 31101 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31101 = 3 \times 7 \times 1481 \]
31101 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 47424 |
| Euler totient φ(n) | 17760 |
| Square | 967272201 |
| Cube | 30083132723301 |
| Square root | 176.354756 |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.1101 × |
31101 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand one hundred and one |
| Binary (base 2) | 111100101111101 |
| Octal (base 8) | 74575 |
| Hexadecimal (base 16) | 797D |
| Base 3 | 1120122220 |
| As time | 31101 seconds = 8 h 38 min 21 s |
Is 31101 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 | Yes (31101 ÷ 3 = 10367) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (31101 ÷ 7 = 4443) | 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 6) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31101 a prime number?
No. 31101 = 3 × 7 × 1481, so it is divisible by 3.
What are the factors of 31101?
1, 3, 7, 21, 1481, 4443, 10367, 31101.
What is 31101 in binary?
111100101111101 (hexadecimal 797D, octal 74575).
What is the square root of 31101?
About 176.3548.
Is 31101 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 31101?
It is a composite number with 8 divisors.