The number 65500
65500 is a composite number with 24 divisors. Its prime factorisation is × × 131. Divisors (24): 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 131, 250, 262, 500, 524, 655 … 65500.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 65500: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
65500 is composite. Its prime factorisation is
- 3
The divisors add up to 144144; without 65500 itself that is 78644, so 65500 is abundant (78644 is more than 65500). Euler's totient φ(65500) = 26000 numbers up to 65500 share no factor with it.
- 4
The digits of 65500 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 130 steps to reach 1.
LaTeX source of the formulas on this page
\[ 65500 = 2^{2} \times 5^{3} \times 131 \]65500 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 144144 |
| Euler totient φ(n) | 26000 |
| Square | 4290250000 |
| Cube | 281011375000000 |
| Square root | 255.929678 (= 10√655) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 130 |
| Scientific notation | 6.55 × |
65500 in other forms
| Form | Value |
|---|---|
| In words | sixty-five thousand five hundred |
| Binary (base 2) | 1111111111011100 |
| Octal (base 8) | 177734 |
| Hexadecimal (base 16) | FFDC |
| Base 3 | 10022211221 |
| As time | 65500 seconds = 18 h 11 min 40 s |
Is 65500 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (65500 ÷ 2 = 32750) | 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 (65500 ÷ 4 = 16375) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (65500 ÷ 5 = 13100) | 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 | 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 (65500 ÷ 10 = 6550) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 65500 a prime number?
No. 65500 = × × 131, so it is divisible by 2.
What are the factors of 65500?
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 131, 250, 262, 500, 524, 655, 1310, 2620, 3275, 6550, 13100, 16375, 32750, 65500.
What is 65500 in binary?
1111111111011100 (hexadecimal FFDC, octal 177734).
What is the square root of 65500?
About 255.9297, exactly 10√655.
Is 65500 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 65500?
65500 is a happy number: repeatedly adding the squares of its digits reaches 1.