The number 55167
55167 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 37 × 71. Divisors (16): 1, 3, 7, 21, 37, 71, 111, 213, 259, 497, 777, 1491, 2627, 7881, 18389, 55167.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55167 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55167 is composite. Its prime factorisation is
- 3
The divisors add up to 87552; without 55167 itself that is 32385, so 55167 is deficient (32385 is less than 55167). Euler's totient φ(55167) = 30240 numbers up to 55167 share no factor with it.
- 4
The digits of 55167 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 184 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55167 = 3 \times 7 \times 37 \times 71 \]
55167 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 87552 |
| Euler totient φ(n) | 30240 |
| Square | 3043397889 |
| Cube | 167895131342463 |
| Square root | 234.876563 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 184 |
| Scientific notation | 5.5167 × |
55167 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand one hundred and sixty-seven |
| Binary (base 2) | 1101011101111111 |
| Octal (base 8) | 153577 |
| Hexadecimal (base 16) | D77F |
| Base 3 | 2210200020 |
| As time | 55167 seconds = 15 h 19 min 27 s |
Is 55167 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 (55167 ÷ 3 = 18389) | 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 | Yes (55167 ÷ 7 = 7881) | 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 2) | 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 55167 a prime number?
No. 55167 = 3 × 7 × 37 × 71, so it is divisible by 3.
What are the factors of 55167?
1, 3, 7, 21, 37, 71, 111, 213, 259, 497, 777, 1491, 2627, 7881, 18389, 55167.
What is 55167 in binary?
1101011101111111 (hexadecimal D77F, octal 153577).
What is the square root of 55167?
About 234.8766.
Is 55167 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 55167?
It is a composite number with 16 divisors.