The number 55007
55007 is a composite number with 4 divisors. Its prime factorisation is 67 × 821. Divisors (4): 1, 67, 821, 55007.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55007: a semiprime: 67 × 821, the product of two primes.
- 2
55007 is composite. Its prime factorisation is
- 3
The divisors add up to 55896; without 55007 itself that is 889, so 55007 is deficient (889 is less than 55007). Euler's totient φ(55007) = 54120 numbers up to 55007 share no factor with it.
- 4
The digits of 55007 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55007 = 67 \times 821 \]
55007 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 55896 |
| Euler totient φ(n) | 54120 |
| Square | 3025770049 |
| Cube | 166438533085343 |
| Square root | 234.535712 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5007 × |
55007 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand and seven |
| Binary (base 2) | 1101011011011111 |
| Octal (base 8) | 153337 |
| Hexadecimal (base 16) | D6DF |
| Base 3 | 2210110022 |
| As time | 55007 seconds = 15 h 16 min 47 s |
Is 55007 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 8) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55007 a prime number?
No. 55007 = 67 × 821, so it is divisible by 67.
What are the factors of 55007?
1, 67, 821, 55007.
What is 55007 in binary?
1101011011011111 (hexadecimal D6DF, octal 153337).
What is the square root of 55007?
About 234.5357.
Is 55007 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 55007?
55007 is a semiprime: 67 × 821, the product of two primes.