The number 13973
13973 is a composite number with 4 divisors. Its prime factorisation is 89 × 157. Divisors (4): 1, 89, 157, 13973.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13973: a semiprime: 89 × 157, the product of two primes.
- 2
13973 is composite. Its prime factorisation is
- 3
The divisors add up to 14220; without 13973 itself that is 247, so 13973 is deficient (247 is less than 13973). Euler's totient φ(13973) = 13728 numbers up to 13973 share no factor with it.
- 4
The digits of 13973 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13973 = 89 \times 157 \]
13973 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 14220 |
| Euler totient φ(n) | 13728 |
| Square | 195244729 |
| Cube | 2728154598317 |
| Square root | 118.207445 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.3973 × |
13973 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand nine hundred and seventy-three |
| Binary (base 2) | 11011010010101 |
| Octal (base 8) | 33225 |
| Hexadecimal (base 16) | 3695 |
| Base 3 | 201011112 |
| As time | 13973 seconds = 3 h 52 min 53 s |
Is 13973 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 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 5) | 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 3) | 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 13973 a prime number?
No. 13973 = 89 × 157, so it is divisible by 89.
What are the factors of 13973?
1, 89, 157, 13973.
What is 13973 in binary?
11011010010101 (hexadecimal 3695, octal 33225).
What is the square root of 13973?
About 118.2074.
Is 13973 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 13973?
13973 is a semiprime: 89 × 157, the product of two primes.