The number 30016
30016 is a composite number with 28 divisors. Its prime factorisation is × 7 × 67. Divisors (28): 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 67, 112, 134, 224, 268 … 30016.
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How to work it out
- 1
30016 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
30016 is composite. Its prime factorisation is
- 3
The divisors add up to 69088; without 30016 itself that is 39072, so 30016 is abundant (39072 is more than 30016). Euler's totient φ(30016) = 12672 numbers up to 30016 share no factor with it.
- 4
The digits of 30016 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 28 steps to reach 1.
LaTeX source of the formulas on this page
\[ 30016 = 2^{6} \times 7 \times 67 \]30016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 69088 |
| Euler totient φ(n) | 12672 |
| Square | 900960256 |
| Cube | 27043223044096 |
| Square root | 173.251263 (= 8√469) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 28 |
| Scientific notation | 3.0016 × |
30016 in other forms
| Form | Value |
|---|---|
| In words | thirty thousand and sixteen |
| Binary (base 2) | 111010101000000 |
| Octal (base 8) | 72500 |
| Hexadecimal (base 16) | 7540 |
| Base 3 | 1112011201 |
| As time | 30016 seconds = 8 h 20 min 16 s |
Is 30016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (30016 ÷ 2 = 15008) | 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 (30016 ÷ 4 = 7504) | 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 | Yes (30016 ÷ 7 = 4288) | 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 (30016 ÷ 8 = 3752) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 | No (remainder 8) | 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 30016 a prime number?
No. 30016 = × 7 × 67, so it is divisible by 2.
What are the factors of 30016?
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 67, 112, 134, 224, 268, 448, 469, 536, 938, 1072, 1876, 2144, 3752, 4288, 7504, 15008, 30016.
What is 30016 in binary?
111010101000000 (hexadecimal 7540, octal 72500).
What is the square root of 30016?
About 173.2513, exactly 8√469.
Is 30016 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 30016?
It is a composite number with 28 divisors.