The number 20967
20967 is a composite number with 8 divisors. Its prime factorisation is 3 × 29 × 241. Divisors (8): 1, 3, 29, 87, 241, 723, 6989, 20967.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
20967 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
20967 is composite. Its prime factorisation is
- 3
The divisors add up to 29040; without 20967 itself that is 8073, so 20967 is deficient (8073 is less than 20967). Euler's totient φ(20967) = 13440 numbers up to 20967 share no factor with it.
- 4
The digits of 20967 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 162 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20967 = 3 \times 29 \times 241 \]
20967 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 29040 |
| Euler totient φ(n) | 13440 |
| Square | 439615089 |
| Cube | 9217409571063 |
| Square root | 144.799862 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 162 |
| Scientific notation | 2.0967 × |
20967 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand nine hundred and sixty-seven |
| Binary (base 2) | 101000111100111 |
| Octal (base 8) | 50747 |
| Hexadecimal (base 16) | 51E7 |
| Base 3 | 1001202120 |
| As time | 20967 seconds = 5 h 49 min 27 s |
Is 20967 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 (20967 ÷ 3 = 6989) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 6) | 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 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 20967 a prime number?
No. 20967 = 3 × 29 × 241, so it is divisible by 3.
What are the factors of 20967?
1, 3, 29, 87, 241, 723, 6989, 20967.
What is 20967 in binary?
101000111100111 (hexadecimal 51E7, octal 50747).
What is the square root of 20967?
About 144.7999.
Is 20967 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 20967?
It is a composite number with 8 divisors.