The number 19967
19967 is a composite number with 4 divisors. Its prime factorisation is 41 × 487. Divisors (4): 1, 41, 487, 19967.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 19967: a semiprime: 41 × 487, the product of two primes.
- 2
19967 is composite. Its prime factorisation is
- 3
The divisors add up to 20496; without 19967 itself that is 529, so 19967 is deficient (529 is less than 19967). Euler's totient φ(19967) = 19440 numbers up to 19967 share no factor with it.
- 4
The digits of 19967 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 167 steps to reach 1.
LaTeX source of the formulas on this page
\[ 19967 = 41 \times 487 \]
19967 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 20496 |
| Euler totient φ(n) | 19440 |
| Square | 398681089 |
| Cube | 7960465304063 |
| Square root | 141.304635 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 167 |
| Scientific notation | 1.9967 × |
19967 in other forms
| Form | Value |
|---|---|
| In words | nineteen thousand nine hundred and sixty-seven |
| Binary (base 2) | 100110111111111 |
| Octal (base 8) | 46777 |
| Hexadecimal (base 16) | 4DFF |
| Base 3 | 1000101112 |
| As time | 19967 seconds = 5 h 32 min 47 s |
Is 19967 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 3) | 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 7) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 19967 a prime number?
No. 19967 = 41 × 487, so it is divisible by 41.
What are the factors of 19967?
1, 41, 487, 19967.
What is 19967 in binary?
100110111111111 (hexadecimal 4DFF, octal 46777).
What is the square root of 19967?
About 141.3046.
Is 19967 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 19967?
19967 is a semiprime: 41 × 487, the product of two primes.