The number 13315
13315 is a composite number with 4 divisors. Its prime factorisation is 5 × 2663. Divisors (4): 1, 5, 2663, 13315.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13315: a semiprime: 5 × 2663, the product of two primes.
- 2
13315 is composite. Its prime factorisation is
- 3
The divisors add up to 15984; without 13315 itself that is 2669, so 13315 is deficient (2669 is less than 13315). Euler's totient φ(13315) = 10648 numbers up to 13315 share no factor with it.
- 4
The digits of 13315 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 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13315 = 5 \times 2663 \]
13315 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 15984 |
| Euler totient φ(n) | 10648 |
| Square | 177289225 |
| Cube | 2360606030875 |
| Square root | 115.390641 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 169 |
| Scientific notation | 1.3315 × |
13315 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and fifteen |
| Binary (base 2) | 11010000000011 |
| Octal (base 8) | 32003 |
| Hexadecimal (base 16) | 3403 |
| Base 3 | 200021011 |
| As time | 13315 seconds = 3 h 41 min 55 s |
Is 13315 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13315 ÷ 5 = 2663) | 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 3) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13315 a prime number?
No. 13315 = 5 × 2663, so it is divisible by 5.
What are the factors of 13315?
1, 5, 2663, 13315.
What is 13315 in binary?
11010000000011 (hexadecimal 3403, octal 32003).
What is the square root of 13315?
About 115.3906.
Is 13315 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 13315?
13315 is a semiprime: 5 × 2663, the product of two primes.