The number 12913
12913 is a composite number with 4 divisors. Its prime factorisation is 37 × 349. Divisors (4): 1, 37, 349, 12913.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12913: a semiprime: 37 × 349, the product of two primes.
- 2
12913 is composite. Its prime factorisation is
- 3
The divisors add up to 13300; without 12913 itself that is 387, so 12913 is deficient (387 is less than 12913). Euler's totient φ(12913) = 12528 numbers up to 12913 share no factor with it.
- 4
The digits of 12913 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 24 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12913 = 37 \times 349 \]
12913 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 13300 |
| Euler totient φ(n) | 12528 |
| Square | 166745569 |
| Cube | 2153185532497 |
| Square root | 113.635382 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 24 |
| Scientific notation | 1.2913 × |
12913 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand nine hundred and thirteen |
| Binary (base 2) | 11001001110001 |
| Octal (base 8) | 31161 |
| Hexadecimal (base 16) | 3271 |
| Base 3 | 122201021 |
| As time | 12913 seconds = 3 h 35 min 13 s |
Is 12913 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 3) | 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 5) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12913 a prime number?
No. 12913 = 37 × 349, so it is divisible by 37.
What are the factors of 12913?
1, 37, 349, 12913.
What is 12913 in binary?
11001001110001 (hexadecimal 3271, octal 31161).
What is the square root of 12913?
About 113.6354.
Is 12913 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 12913?
12913 is a semiprime: 37 × 349, the product of two primes.