The number 13307
13307 is a composite number with 4 divisors. Its prime factorisation is 7 × 1901. Divisors (4): 1, 7, 1901, 13307.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13307: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 1901, the product of two primes.
- 2
13307 is composite. Its prime factorisation is
- 3
The divisors add up to 15216; without 13307 itself that is 1909, so 13307 is deficient (1909 is less than 13307). Euler's totient φ(13307) = 11400 numbers up to 13307 share no factor with it.
- 4
The digits of 13307 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13307 = 7 \times 1901 \]
13307 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 15216 |
| Euler totient φ(n) | 11400 |
| Square | 177076249 |
| Cube | 2356353645443 |
| Square root | 115.355971 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 76 |
| Scientific notation | 1.3307 × |
13307 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and seven |
| Binary (base 2) | 11001111111011 |
| Octal (base 8) | 31773 |
| Hexadecimal (base 16) | 33FB |
| Base 3 | 200020212 |
| As time | 13307 seconds = 3 h 41 min 47 s |
Is 13307 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 | Yes (13307 ÷ 7 = 1901) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13307 a prime number?
No. 13307 = 7 × 1901, so it is divisible by 7.
What are the factors of 13307?
1, 7, 1901, 13307.
What is 13307 in binary?
11001111111011 (hexadecimal 33FB, octal 31773).
What is the square root of 13307?
About 115.3560.
Is 13307 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 13307?
13307 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 1901, the product of two primes.