The number 56007
56007 is a composite number with 18 divisors. Its prime factorisation is × × 127. Divisors (18): 1, 3, 7, 9, 21, 49, 63, 127, 147, 381, 441, 889, 1143, 2667, 6223, 8001 … 56007.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
56007 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
56007 is composite. Its prime factorisation is
- 3
The divisors add up to 94848; without 56007 itself that is 38841, so 56007 is deficient (38841 is less than 56007). Euler's totient φ(56007) = 31752 numbers up to 56007 share no factor with it.
- 4
The digits of 56007 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 56007 = 3^{2} \times 7^{2} \times 127 \]56007 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 94848 |
| Euler totient φ(n) | 31752 |
| Square | 3136784049 |
| Cube | 175681864232343 |
| Square root | 236.657981 (= 21√127) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.6007 × |
56007 in other forms
| Form | Value |
|---|---|
| In words | fifty-six thousand and seven |
| Binary (base 2) | 1101101011000111 |
| Octal (base 8) | 155307 |
| Hexadecimal (base 16) | DAC7 |
| Base 3 | 2211211100 |
| As time | 56007 seconds = 15 h 33 min 27 s |
Is 56007 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 (56007 ÷ 3 = 18669) | 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 (56007 ÷ 7 = 8001) | 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 | Yes (56007 ÷ 9 = 6223) | 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 6) | 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 56007 a prime number?
No. 56007 = × × 127, so it is divisible by 3.
What are the factors of 56007?
1, 3, 7, 9, 21, 49, 63, 127, 147, 381, 441, 889, 1143, 2667, 6223, 8001, 18669, 56007.
What is 56007 in binary?
1101101011000111 (hexadecimal DAC7, octal 155307).
What is the square root of 56007?
About 236.6580, exactly 21√127.
Is 56007 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 56007?
It is a composite number with 18 divisors.