The number 60038
60038 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 2729. Divisors (8): 1, 2, 11, 22, 2729, 5458, 30019, 60038.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60038: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
60038 is composite. Its prime factorisation is
- 3
The divisors add up to 98280; without 60038 itself that is 38242, so 60038 is deficient (38242 is less than 60038). Euler's totient φ(60038) = 27280 numbers up to 60038 share no factor with it.
- 4
The digits of 60038 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 117 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60038 = 2 \times 11 \times 2729 \]
60038 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 98280 |
| Euler totient φ(n) | 27280 |
| Square | 3604561444 |
| Cube | 216410659974872 |
| Square root | 245.026529 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 117 |
| Scientific notation | 6.0038 × |
60038 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand and thirty-eight |
| Binary (base 2) | 1110101010000110 |
| Octal (base 8) | 165206 |
| Hexadecimal (base 16) | EA86 |
| Base 3 | 10001100122 |
| As time | 60038 seconds = 16 h 40 min 38 s |
Is 60038 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60038 ÷ 2 = 30019) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 | Yes (60038 ÷ 11 = 5458) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60038 a prime number?
No. 60038 = 2 × 11 × 2729, so it is divisible by 2.
What are the factors of 60038?
1, 2, 11, 22, 2729, 5458, 30019, 60038.
What is 60038 in binary?
1110101010000110 (hexadecimal EA86, octal 165206).
What is the square root of 60038?
About 245.0265.
Is 60038 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 60038?
60038 is a happy number: repeatedly adding the squares of its digits reaches 1.