The number 18967
18967 is a composite number with 4 divisors. Its prime factorisation is 13 × 1459. Divisors (4): 1, 13, 1459, 18967.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18967: a semiprime: 13 × 1459, the product of two primes.
- 2
18967 is composite. Its prime factorisation is
- 3
The divisors add up to 20440; without 18967 itself that is 1473, so 18967 is deficient (1473 is less than 18967). Euler's totient φ(18967) = 17496 numbers up to 18967 share no factor with it.
- 4
The digits of 18967 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 53 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18967 = 13 \times 1459 \]
18967 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 20440 |
| Euler totient φ(n) | 17496 |
| Square | 359747089 |
| Cube | 6823323037063 |
| Square root | 137.720732 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 53 |
| Scientific notation | 1.8967 × |
18967 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand nine hundred and sixty-seven |
| Binary (base 2) | 100101000010111 |
| Octal (base 8) | 45027 |
| Hexadecimal (base 16) | 4A17 |
| Base 3 | 222000111 |
| As time | 18967 seconds = 5 h 16 min 7 s |
Is 18967 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 4) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18967 a prime number?
No. 18967 = 13 × 1459, so it is divisible by 13.
What are the factors of 18967?
1, 13, 1459, 18967.
What is 18967 in binary?
100101000010111 (hexadecimal 4A17, octal 45027).
What is the square root of 18967?
About 137.7207.
Is 18967 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 18967?
18967 is a semiprime: 13 × 1459, the product of two primes.