The number 12601
12601 is the 1505th prime number. Its only divisors are 1 and 12601.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12601: the 1505th prime number.
- 2
12601 is prime, so its only factors are 1 and 12601. It is the 1505th prime; the next prime is 12611 and the one before is 12589.
- 3
The divisors add up to 12602; without 12601 itself that is 1, so 12601 is deficient (1 is less than 12601). Euler's totient φ(12601) = 12600 numbers up to 12601 share no factor with it.
- 4
The digits of 12601 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
12601 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 12602 |
| Euler totient φ(n) | 12600 |
| Square | 158785201 |
| Cube | 2000852317801 |
| Square root | 112.254176 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 156 |
| Scientific notation | 1.2601 × |
12601 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand six hundred and one |
| Binary (base 2) | 11000100111001 |
| Octal (base 8) | 30471 |
| Hexadecimal (base 16) | 3139 |
| Base 3 | 122021201 |
| As time | 12601 seconds = 3 h 30 min 1 s |
Is 12601 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 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 6) | 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 12601 a prime number?
Yes. 12601 is divisible only by 1 and itself.
What are the factors of 12601?
1, 12601.
What is 12601 in binary?
11000100111001 (hexadecimal 3139, octal 30471).
What is the square root of 12601?
About 112.2542.
Is 12601 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 12601?
12601 is the 1505th prime number.