The number 13971
13971 is a composite number with 4 divisors. Its prime factorisation is 3 × 4657. Divisors (4): 1, 3, 4657, 13971.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13971: a semiprime: 3 × 4657, the product of two primes.
- 2
13971 is composite. Its prime factorisation is
- 3
The divisors add up to 18632; without 13971 itself that is 4661, so 13971 is deficient (4661 is less than 13971). Euler's totient φ(13971) = 9312 numbers up to 13971 share no factor with it.
- 4
The digits of 13971 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13971 = 3 \times 4657 \]
13971 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 18632 |
| Euler totient φ(n) | 9312 |
| Square | 195188841 |
| Cube | 2726983297611 |
| Square root | 118.198985 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 107 |
| Scientific notation | 1.3971 × |
13971 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand nine hundred and seventy-one |
| Binary (base 2) | 11011010010011 |
| Octal (base 8) | 33223 |
| Hexadecimal (base 16) | 3693 |
| Base 3 | 201011110 |
| As time | 13971 seconds = 3 h 52 min 51 s |
Is 13971 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 | Yes (13971 ÷ 3 = 4657) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13971 a prime number?
No. 13971 = 3 × 4657, so it is divisible by 3.
What are the factors of 13971?
1, 3, 4657, 13971.
What is 13971 in binary?
11011010010011 (hexadecimal 3693, octal 33223).
What is the square root of 13971?
About 118.1990.
Is 13971 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 13971?
13971 is a semiprime: 3 × 4657, the product of two primes.