The number 12901
12901 is a composite number with 8 divisors. Its prime factorisation is 7 × 19 × 97. Divisors (8): 1, 7, 19, 97, 133, 679, 1843, 12901.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
12901 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
12901 is composite. Its prime factorisation is
- 3
The divisors add up to 15680; without 12901 itself that is 2779, so 12901 is deficient (2779 is less than 12901). Euler's totient φ(12901) = 10368 numbers up to 12901 share no factor with it.
- 4
The digits of 12901 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12901 = 7 \times 19 \times 97 \]
12901 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 15680 |
| Euler totient φ(n) | 10368 |
| Square | 166435801 |
| Cube | 2147188268701 |
| Square root | 113.582569 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 63 |
| Scientific notation | 1.2901 × |
12901 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand nine hundred and one |
| Binary (base 2) | 11001001100101 |
| Octal (base 8) | 31145 |
| Hexadecimal (base 16) | 3265 |
| Base 3 | 122200211 |
| As time | 12901 seconds = 3 h 35 min 1 s |
Is 12901 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 | Yes (12901 ÷ 7 = 1843) | 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 4) | 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 9) | 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 12901 a prime number?
No. 12901 = 7 × 19 × 97, so it is divisible by 7.
What are the factors of 12901?
1, 7, 19, 97, 133, 679, 1843, 12901.
What is 12901 in binary?
11001001100101 (hexadecimal 3265, octal 31145).
What is the square root of 12901?
About 113.5826.
Is 12901 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 12901?
It is a composite number with 8 divisors.