The number 60208
60208 is a composite number with 20 divisors. Its prime factorisation is × 53 × 71. Divisors (20): 1, 2, 4, 8, 16, 53, 71, 106, 142, 212, 284, 424, 568, 848, 1136, 3763 … 60208.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60208: a Harshad number: divisible by its digit sum 16.
- 2
60208 is composite. Its prime factorisation is
- 3
The divisors add up to 120528; without 60208 itself that is 60320, so 60208 is abundant (60320 is more than 60208). Euler's totient φ(60208) = 29120 numbers up to 60208 share no factor with it.
- 4
The digits of 60208 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 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60208 = 2^{4} \times 53 \times 71 \]60208 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 120528 |
| Euler totient φ(n) | 29120 |
| Square | 3625003264 |
| Cube | 218254196518912 |
| Square root | 245.373185 (= 4√3763) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 42 |
| Scientific notation | 6.0208 × |
60208 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand two hundred and eight |
| Binary (base 2) | 1110101100110000 |
| Octal (base 8) | 165460 |
| Hexadecimal (base 16) | EB30 |
| Base 3 | 10001120221 |
| As time | 60208 seconds = 16 h 43 min 28 s |
Is 60208 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60208 ÷ 2 = 30104) | 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 (60208 ÷ 4 = 15052) | 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 (60208 ÷ 8 = 7526) | 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 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 60208 a prime number?
No. 60208 = × 53 × 71, so it is divisible by 2.
What are the factors of 60208?
1, 2, 4, 8, 16, 53, 71, 106, 142, 212, 284, 424, 568, 848, 1136, 3763, 7526, 15052, 30104, 60208.
What is 60208 in binary?
1110101100110000 (hexadecimal EB30, octal 165460).
What is the square root of 60208?
About 245.3732, exactly 4√3763.
Is 60208 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 60208?
60208 is a Harshad number: divisible by its digit sum 16.