The number 56000
56000 is a composite number with 56 divisors. Its prime factorisation is × × 7. Divisors (56): 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 32, 35, 40, 50 … 56000.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
56000 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
56000 is composite. Its prime factorisation is
- 3
The divisors add up to 158496; without 56000 itself that is 102496, so 56000 is abundant (102496 is more than 56000). Euler's totient φ(56000) = 19200 numbers up to 56000 share no factor with it.
- 4
The digits of 56000 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 56000 = 2^{6} \times 5^{3} \times 7 \]56000 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 56 |
| Sum of divisors | 158496 |
| Euler totient φ(n) | 19200 |
| Square | 3136000000 |
| Cube | 175616000000000 |
| Square root | 236.643191 (= 40√35) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 34 |
| Scientific notation | 5.6 × |
56000 in other forms
| Form | Value |
|---|---|
| In words | fifty-six thousand |
| Binary (base 2) | 1101101011000000 |
| Octal (base 8) | 155300 |
| Hexadecimal (base 16) | DAC0 |
| Base 3 | 2211211002 |
| As time | 56000 seconds = 15 h 33 min 20 s |
Is 56000 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (56000 ÷ 2 = 28000) | 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 | Yes (56000 ÷ 4 = 14000) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (56000 ÷ 5 = 11200) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (56000 ÷ 7 = 8000) | 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 (56000 ÷ 8 = 7000) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (56000 ÷ 10 = 5600) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 56000 a prime number?
No. 56000 = × × 7, so it is divisible by 2.
What are the factors of 56000?
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 32, 35, 40, 50, 56, 64, 70, 80, 100, 112, 125, 140, 160, 175, 200, 224, 250, 280, 320, 350, 400, 448, 500, 560, 700, 800, 875, 1000, 1120, 1400, 1600, 1750, 2000, 2240, 2800, 3500, 4000, 5600, 7000, 8000, 11200, 14000, 28000, 56000.
What is 56000 in binary?
1101101011000000 (hexadecimal DAC0, octal 155300).
What is the square root of 56000?
About 236.6432, exactly 40√35.
Is 56000 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 56000?
It is a composite number with 56 divisors.