The number 13101
13101 is a composite number with 8 divisors. Its prime factorisation is 3 × 11 × 397. Divisors (8): 1, 3, 11, 33, 397, 1191, 4367, 13101.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13101 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13101 is composite. Its prime factorisation is
- 3
The divisors add up to 19104; without 13101 itself that is 6003, so 13101 is deficient (6003 is less than 13101). Euler's totient φ(13101) = 7920 numbers up to 13101 share no factor with it.
- 4
The digits of 13101 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 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13101 = 3 \times 11 \times 397 \]
13101 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 19104 |
| Euler totient φ(n) | 7920 |
| Square | 171636201 |
| Cube | 2248605869301 |
| Square root | 114.459600 |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3101 × |
13101 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand one hundred and one |
| Binary (base 2) | 11001100101101 |
| Octal (base 8) | 31455 |
| Hexadecimal (base 16) | 332D |
| Base 3 | 122222020 |
| As time | 13101 seconds = 3 h 38 min 21 s |
Is 13101 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 (13101 ÷ 3 = 4367) | 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 | 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 | 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 | Yes (13101 ÷ 11 = 1191) | 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 13101 a prime number?
No. 13101 = 3 × 11 × 397, so it is divisible by 3.
What are the factors of 13101?
1, 3, 11, 33, 397, 1191, 4367, 13101.
What is 13101 in binary?
11001100101101 (hexadecimal 332D, octal 31455).
What is the square root of 13101?
About 114.4596.
Is 13101 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 13101?
It is a composite number with 8 divisors.