The number 1313
1313 is a composite number with 4 divisors. Its prime factorisation is 13 × 101. Divisors (4): 1, 13, 101, 1313.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1313: a semiprime: 13 × 101, the product of two primes.
- 2
1313 is composite. Its prime factorisation is
- 3
The divisors add up to 1428; without 1313 itself that is 115, so 1313 is deficient (115 is less than 1313). Euler's totient φ(1313) = 1200 numbers up to 1313 share no factor with it.
- 4
The digits of 1313 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 26 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1313 = 13 \times 101 \]
1313 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1428 |
| Euler totient φ(n) | 1200 |
| Square | 1723969 |
| Cube | 2263571297 |
| Square root | 36.235342 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 26 |
| Scientific notation | 1.313 × |
1313 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and thirteen |
| Roman numerals | MCCCXIII |
| Binary (base 2) | 10100100001 |
| Octal (base 8) | 2441 |
| Hexadecimal (base 16) | 521 |
| Base 3 | 1210122 |
| As time | 1313 seconds = 21 min 53 s |
Is 1313 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 2) | 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 5) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1313 a prime number?
No. 1313 = 13 × 101, so it is divisible by 13.
What are the factors of 1313?
1, 13, 101, 1313.
What is 1313 in binary?
10100100001 (hexadecimal 521, octal 2441).
What is the square root of 1313?
About 36.2353.
What is 1313 in Roman numerals?
MCCCXIII.
Is 1313 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 1313?
1313 is a semiprime: 13 × 101, the product of two primes.