The number 56500
56500 is a composite number with 24 divisors. Its prime factorisation is × × 113. Divisors (24): 1, 2, 4, 5, 10, 20, 25, 50, 100, 113, 125, 226, 250, 452, 500, 565 … 56500.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 56500: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
56500 is composite. Its prime factorisation is
- 3
The divisors add up to 124488; without 56500 itself that is 67988, so 56500 is abundant (67988 is more than 56500). Euler's totient φ(56500) = 22400 numbers up to 56500 share no factor with it.
- 4
The digits of 56500 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 104 steps to reach 1.
LaTeX source of the formulas on this page
\[ 56500 = 2^{2} \times 5^{3} \times 113 \]56500 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 124488 |
| Euler totient φ(n) | 22400 |
| Square | 3192250000 |
| Cube | 180362125000000 |
| Square root | 237.697286 (= 10√565) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 104 |
| Scientific notation | 5.65 × |
56500 in other forms
| Form | Value |
|---|---|
| In words | fifty-six thousand five hundred |
| Binary (base 2) | 1101110010110100 |
| Octal (base 8) | 156264 |
| Hexadecimal (base 16) | DCB4 |
| Base 3 | 2212111121 |
| As time | 56500 seconds = 15 h 41 min 40 s |
Is 56500 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (56500 ÷ 2 = 28250) | 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 (56500 ÷ 4 = 14125) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (56500 ÷ 5 = 11300) | 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 3) | 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 4) | 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 | Yes (56500 ÷ 10 = 5650) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 56500 a prime number?
No. 56500 = × × 113, so it is divisible by 2.
What are the factors of 56500?
1, 2, 4, 5, 10, 20, 25, 50, 100, 113, 125, 226, 250, 452, 500, 565, 1130, 2260, 2825, 5650, 11300, 14125, 28250, 56500.
What is 56500 in binary?
1101110010110100 (hexadecimal DCB4, octal 156264).
What is the square root of 56500?
About 237.6973, exactly 10√565.
Is 56500 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 56500?
56500 is a happy number: repeatedly adding the squares of its digits reaches 1.