The number 13957
13957 is a composite number with 4 divisors. Its prime factorisation is 17 × 821. Divisors (4): 1, 17, 821, 13957.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13957: a semiprime: 17 × 821, the product of two primes.
- 2
13957 is composite. Its prime factorisation is
- 3
The divisors add up to 14796; without 13957 itself that is 839, so 13957 is deficient (839 is less than 13957). Euler's totient φ(13957) = 13120 numbers up to 13957 share no factor with it.
- 4
The digits of 13957 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13957 = 17 \times 821 \]
13957 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 14796 |
| Euler totient φ(n) | 13120 |
| Square | 194797849 |
| Cube | 2718793578493 |
| Square root | 118.139748 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 89 |
| Scientific notation | 1.3957 × |
13957 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand nine hundred and fifty-seven |
| Binary (base 2) | 11011010000101 |
| Octal (base 8) | 33205 |
| Hexadecimal (base 16) | 3685 |
| Base 3 | 201010221 |
| As time | 13957 seconds = 3 h 52 min 37 s |
Is 13957 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 1) | 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 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13957 a prime number?
No. 13957 = 17 × 821, so it is divisible by 17.
What are the factors of 13957?
1, 17, 821, 13957.
What is 13957 in binary?
11011010000101 (hexadecimal 3685, octal 33205).
What is the square root of 13957?
About 118.1397.
Is 13957 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 13957?
13957 is a semiprime: 17 × 821, the product of two primes.