The number 54967
54967 is a composite number with 8 divisors. Its prime factorisation is 11 × 19 × 263. Divisors (8): 1, 11, 19, 209, 263, 2893, 4997, 54967.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
54967 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54967 is composite. Its prime factorisation is
- 3
The divisors add up to 63360; without 54967 itself that is 8393, so 54967 is deficient (8393 is less than 54967). Euler's totient φ(54967) = 47160 numbers up to 54967 share no factor with it.
- 4
The digits of 54967 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 197 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54967 = 11 \times 19 \times 263 \]
54967 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 63360 |
| Euler totient φ(n) | 47160 |
| Square | 3021371089 |
| Cube | 166075704649063 |
| Square root | 234.450421 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 197 |
| Scientific notation | 5.4967 × |
54967 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand nine hundred and sixty-seven |
| Binary (base 2) | 1101011010110111 |
| Octal (base 8) | 153267 |
| Hexadecimal (base 16) | D6B7 |
| Base 3 | 2210101211 |
| As time | 54967 seconds = 15 h 16 min 7 s |
Is 54967 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 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 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 | Yes (54967 ÷ 11 = 4997) | 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 54967 a prime number?
No. 54967 = 11 × 19 × 263, so it is divisible by 11.
What are the factors of 54967?
1, 11, 19, 209, 263, 2893, 4997, 54967.
What is 54967 in binary?
1101011010110111 (hexadecimal D6B7, octal 153267).
What is the square root of 54967?
About 234.4504.
Is 54967 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 54967?
It is a composite number with 8 divisors.