The number 55006
55006 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 3929. Divisors (8): 1, 2, 7, 14, 3929, 7858, 27503, 55006.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55006: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55006 is composite. Its prime factorisation is
- 3
The divisors add up to 94320; without 55006 itself that is 39314, so 55006 is deficient (39314 is less than 55006). Euler's totient φ(55006) = 23568 numbers up to 55006 share no factor with it.
- 4
The digits of 55006 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55006 = 2 \times 7 \times 3929 \]
55006 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 94320 |
| Euler totient φ(n) | 23568 |
| Square | 3025660036 |
| Cube | 166429455940216 |
| Square root | 234.533580 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5006 × |
55006 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand and six |
| Binary (base 2) | 1101011011011110 |
| Octal (base 8) | 153336 |
| Hexadecimal (base 16) | D6DE |
| Base 3 | 2210110021 |
| As time | 55006 seconds = 15 h 16 min 46 s |
Is 55006 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55006 ÷ 2 = 27503) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (55006 ÷ 7 = 7858) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55006 a prime number?
No. 55006 = 2 × 7 × 3929, so it is divisible by 2.
What are the factors of 55006?
1, 2, 7, 14, 3929, 7858, 27503, 55006.
What is 55006 in binary?
1101011011011110 (hexadecimal D6DE, octal 153336).
What is the square root of 55006?
About 234.5336.
Is 55006 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 55006?
55006 is a happy number: repeatedly adding the squares of its digits reaches 1.