The number 13213
13213 is a composite number with 4 divisors. Its prime factorisation is 73 × 181. Divisors (4): 1, 73, 181, 13213.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13213: a semiprime: 73 × 181, the product of two primes.
- 2
13213 is composite. Its prime factorisation is
- 3
The divisors add up to 13468; without 13213 itself that is 255, so 13213 is deficient (255 is less than 13213). Euler's totient φ(13213) = 12960 numbers up to 13213 share no factor with it.
- 4
The digits of 13213 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 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13213 = 73 \times 181 \]
13213 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 13468 |
| Euler totient φ(n) | 12960 |
| Square | 174583369 |
| Cube | 2306770054597 |
| Square root | 114.947814 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 76 |
| Scientific notation | 1.3213 × |
13213 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand two hundred and thirteen |
| Binary (base 2) | 11001110011101 |
| Octal (base 8) | 31635 |
| Hexadecimal (base 16) | 339D |
| Base 3 | 200010101 |
| As time | 13213 seconds = 3 h 40 min 13 s |
Is 13213 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 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 1) | 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 2) | 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 13213 a prime number?
No. 13213 = 73 × 181, so it is divisible by 73.
What are the factors of 13213?
1, 73, 181, 13213.
What is 13213 in binary?
11001110011101 (hexadecimal 339D, octal 31635).
What is the square root of 13213?
About 114.9478.
Is 13213 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 13213?
13213 is a semiprime: 73 × 181, the product of two primes.