The number 60399
60399 is a composite number with 8 divisors. Its prime factorisation is × 2237. Divisors (8): 1, 3, 9, 27, 2237, 6711, 20133, 60399.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60399: a Harshad number: divisible by its digit sum 27.
- 2
60399 is composite. Its prime factorisation is
- 3
The divisors add up to 89520; without 60399 itself that is 29121, so 60399 is deficient (29121 is less than 60399). Euler's totient φ(60399) = 40248 numbers up to 60399 share no factor with it.
- 4
The digits of 60399 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 210 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60399 = 3^{3} \times 2237 \]60399 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 89520 |
| Euler totient φ(n) | 40248 |
| Square | 3648039201 |
| Cube | 220337919701199 |
| Square root | 245.762080 (= 3√6711) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 210 |
| Scientific notation | 6.0399 × |
60399 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand three hundred and ninety-nine |
| Binary (base 2) | 1110101111101111 |
| Octal (base 8) | 165757 |
| Hexadecimal (base 16) | EBEF |
| Base 3 | 10001212000 |
| As time | 60399 seconds = 16 h 46 min 39 s |
Is 60399 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (60399 ÷ 3 = 20133) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (60399 ÷ 9 = 6711) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60399 a prime number?
No. 60399 = × 2237, so it is divisible by 3.
What are the factors of 60399?
1, 3, 9, 27, 2237, 6711, 20133, 60399.
What is 60399 in binary?
1110101111101111 (hexadecimal EBEF, octal 165757).
What is the square root of 60399?
About 245.7621, exactly 3√6711.
Is 60399 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 60399?
60399 is a Harshad number: divisible by its digit sum 27.