The number 60064
60064 is a composite number with 12 divisors. Its prime factorisation is × 1877. Divisors (12): 1, 2, 4, 8, 16, 32, 1877, 3754, 7508, 15016, 30032, 60064.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60064: a Harshad number: divisible by its digit sum 16.
- 2
60064 is composite. Its prime factorisation is
- 3
The divisors add up to 118314; without 60064 itself that is 58250, so 60064 is deficient (58250 is less than 60064). Euler's totient φ(60064) = 30016 numbers up to 60064 share no factor with it.
- 4
The digits of 60064 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 29 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60064 = 2^{5} \times 1877 \]60064 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 118314 |
| Euler totient φ(n) | 30016 |
| Square | 3607684096 |
| Cube | 216691937542144 |
| Square root | 245.079579 (= 4√3754) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 29 |
| Scientific notation | 6.0064 × |
60064 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand and sixty-four |
| Binary (base 2) | 1110101010100000 |
| Octal (base 8) | 165240 |
| Hexadecimal (base 16) | EAA0 |
| Base 3 | 10001101121 |
| As time | 60064 seconds = 16 h 41 min 4 s |
Is 60064 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60064 ÷ 2 = 30032) | 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 (60064 ÷ 4 = 15016) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (60064 ÷ 8 = 7508) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 60064 a prime number?
No. 60064 = × 1877, so it is divisible by 2.
What are the factors of 60064?
1, 2, 4, 8, 16, 32, 1877, 3754, 7508, 15016, 30032, 60064.
What is 60064 in binary?
1110101010100000 (hexadecimal EAA0, octal 165240).
What is the square root of 60064?
About 245.0796, exactly 4√3754.
Is 60064 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 60064?
60064 is a Harshad number: divisible by its digit sum 16.