The number 13073
13073 is a composite number with 4 divisors. Its prime factorisation is 17 × 769. Divisors (4): 1, 17, 769, 13073.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13073: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 17 × 769, the product of two primes.
- 2
13073 is composite. Its prime factorisation is
- 3
The divisors add up to 13860; without 13073 itself that is 787, so 13073 is deficient (787 is less than 13073). Euler's totient φ(13073) = 12288 numbers up to 13073 share no factor with it.
- 4
The digits of 13073 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 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13073 = 17 \times 769 \]
13073 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 13860 |
| Euler totient φ(n) | 12288 |
| Square | 170903329 |
| Cube | 2234219220017 |
| Square root | 114.337221 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3073 × |
13073 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and seventy-three |
| Binary (base 2) | 11001100010001 |
| Octal (base 8) | 31421 |
| Hexadecimal (base 16) | 3311 |
| Base 3 | 122221012 |
| As time | 13073 seconds = 3 h 37 min 53 s |
Is 13073 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 5) | 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 5) | 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 13073 a prime number?
No. 13073 = 17 × 769, so it is divisible by 17.
What are the factors of 13073?
1, 17, 769, 13073.
What is 13073 in binary?
11001100010001 (hexadecimal 3311, octal 31421).
What is the square root of 13073?
About 114.3372.
Is 13073 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 13073?
13073 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 17 × 769, the product of two primes.