The number 60000
60000 is a composite number with 60 divisors. Its prime factorisation is × 3 × . Divisors (60): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32 … 60000.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60000: a Harshad number: divisible by its digit sum 6.
- 2
60000 is composite. Its prime factorisation is
- 3
The divisors add up to 196812; without 60000 itself that is 136812, so 60000 is abundant (136812 is more than 60000). Euler's totient φ(60000) = 16000 numbers up to 60000 share no factor with it.
- 4
The digits of 60000 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 179 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60000 = 2^{5} \times 3 \times 5^{4} \]60000 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 196812 |
| Euler totient φ(n) | 16000 |
| Square | 3600000000 |
| Cube | 216000000000000 |
| Square root | 244.948974 (= 100√6) |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 179 |
| Scientific notation | 6 × |
60000 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand |
| Binary (base 2) | 1110101001100000 |
| Octal (base 8) | 165140 |
| Hexadecimal (base 16) | EA60 |
| Base 3 | 10001022020 |
| As time | 60000 seconds = 16 h 40 min 0 s |
Is 60000 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60000 ÷ 2 = 30000) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (60000 ÷ 3 = 20000) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (60000 ÷ 4 = 15000) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (60000 ÷ 5 = 12000) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (60000 ÷ 6 = 10000) | 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 | Yes (60000 ÷ 8 = 7500) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (60000 ÷ 10 = 6000) | 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 | Yes (60000 ÷ 12 = 5000) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60000 a prime number?
No. 60000 = × 3 × , so it is divisible by 2.
What are the factors of 60000?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 125, 150, 160, 200, 240, 250, 300, 375, 400, 480, 500, 600, 625, 750, 800, 1000, 1200, 1250, 1500, 1875, 2000, 2400, 2500, 3000, 3750, 4000, 5000, 6000, 7500, 10000, 12000, 15000, 20000, 30000, 60000.
What is 60000 in binary?
1110101001100000 (hexadecimal EA60, octal 165140).
What is the square root of 60000?
About 244.9490, exactly 100√6.
Is 60000 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 60000?
60000 is a Harshad number: divisible by its digit sum 6.