The number 56008
56008 is a composite number with 8 divisors. Its prime factorisation is × 7001. Divisors (8): 1, 2, 4, 8, 7001, 14002, 28004, 56008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
56008 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
56008 is composite. Its prime factorisation is
- 3
The divisors add up to 105030; without 56008 itself that is 49022, so 56008 is deficient (49022 is less than 56008). Euler's totient φ(56008) = 28000 numbers up to 56008 share no factor with it.
- 4
The digits of 56008 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 56008 = 2^{3} \times 7001 \]56008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 105030 |
| Euler totient φ(n) | 28000 |
| Square | 3136896064 |
| Cube | 175691274752512 |
| Square root | 236.660094 (= 2√14002) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 34 |
| Scientific notation | 5.6008 × |
56008 in other forms
| Form | Value |
|---|---|
| In words | fifty-six thousand and eight |
| Binary (base 2) | 1101101011001000 |
| Octal (base 8) | 155310 |
| Hexadecimal (base 16) | DAC8 |
| Base 3 | 2211211101 |
| As time | 56008 seconds = 15 h 33 min 28 s |
Is 56008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (56008 ÷ 2 = 28004) | 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 | Yes (56008 ÷ 4 = 14002) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 | 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 | Yes (56008 ÷ 8 = 7001) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 56008 a prime number?
No. 56008 = × 7001, so it is divisible by 2.
What are the factors of 56008?
1, 2, 4, 8, 7001, 14002, 28004, 56008.
What is 56008 in binary?
1101101011001000 (hexadecimal DAC8, octal 155310).
What is the square root of 56008?
About 236.6601, exactly 2√14002.
Is 56008 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 56008?
It is a composite number with 8 divisors.