The number 60016
60016 is a composite number with 30 divisors. Its prime factorisation is × × 31. Divisors (30): 1, 2, 4, 8, 11, 16, 22, 31, 44, 62, 88, 121, 124, 176, 242, 248 … 60016.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
60016 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
60016 is composite. Its prime factorisation is
- 3
The divisors add up to 131936; without 60016 itself that is 71920, so 60016 is abundant (71920 is more than 60016). Euler's totient φ(60016) = 26400 numbers up to 60016 share no factor with it.
- 4
The digits of 60016 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60016 = 2^{4} \times 11^{2} \times 31 \]60016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 131936 |
| Euler totient φ(n) | 26400 |
| Square | 3601920256 |
| Cube | 216172846084096 |
| Square root | 244.981632 (= 44√31) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 65 |
| Scientific notation | 6.0016 × |
60016 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand and sixteen |
| Binary (base 2) | 1110101001110000 |
| Octal (base 8) | 165160 |
| Hexadecimal (base 16) | EA70 |
| Base 3 | 10001022211 |
| As time | 60016 seconds = 16 h 40 min 16 s |
Is 60016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60016 ÷ 2 = 30008) | 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 (60016 ÷ 4 = 15004) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 5) | 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 (60016 ÷ 8 = 7502) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (60016 ÷ 11 = 5456) | 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 60016 a prime number?
No. 60016 = × × 31, so it is divisible by 2.
What are the factors of 60016?
1, 2, 4, 8, 11, 16, 22, 31, 44, 62, 88, 121, 124, 176, 242, 248, 341, 484, 496, 682, 968, 1364, 1936, 2728, 3751, 5456, 7502, 15004, 30008, 60016.
What is 60016 in binary?
1110101001110000 (hexadecimal EA70, octal 165160).
What is the square root of 60016?
About 244.9816, exactly 44√31.
Is 60016 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 60016?
It is a composite number with 30 divisors.