The number 16397
16397 is a composite number with 4 divisors. Its prime factorisation is 19 × 863. Divisors (4): 1, 19, 863, 16397.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16397: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 19 × 863, the product of two primes.
- 2
16397 is composite. Its prime factorisation is
- 3
The divisors add up to 17280; without 16397 itself that is 883, so 16397 is deficient (883 is less than 16397). Euler's totient φ(16397) = 15516 numbers up to 16397 share no factor with it.
- 4
The digits of 16397 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16397 = 19 \times 863 \]
16397 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 17280 |
| Euler totient φ(n) | 15516 |
| Square | 268861609 |
| Cube | 4408523802773 |
| Square root | 128.050771 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 159 |
| Scientific notation | 1.6397 × |
16397 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand three hundred and ninety-seven |
| Binary (base 2) | 100000000001101 |
| Octal (base 8) | 40015 |
| Hexadecimal (base 16) | 400D |
| Base 3 | 211111022 |
| As time | 16397 seconds = 4 h 33 min 17 s |
Is 16397 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 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 | No (remainder 3) | 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 8) | 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 7) | 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 16397 a prime number?
No. 16397 = 19 × 863, so it is divisible by 19.
What are the factors of 16397?
1, 19, 863, 16397.
What is 16397 in binary?
100000000001101 (hexadecimal 400D, octal 40015).
What is the square root of 16397?
About 128.0508.
Is 16397 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 16397?
16397 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 19 × 863, the product of two primes.