The number 52016
52016 is a composite number with 10 divisors. Its prime factorisation is × 3251. Divisors (10): 1, 2, 4, 8, 16, 3251, 6502, 13004, 26008, 52016.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
52016 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
52016 is composite. Its prime factorisation is
- 3
The divisors add up to 100812; without 52016 itself that is 48796, so 52016 is deficient (48796 is less than 52016). Euler's totient φ(52016) = 26000 numbers up to 52016 share no factor with it.
- 4
The digits of 52016 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52016 = 2^{4} \times 3251 \]52016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 100812 |
| Euler totient φ(n) | 26000 |
| Square | 2705664256 |
| Cube | 140737831940096 |
| Square root | 228.070165 (= 4√3251) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.2016 × |
52016 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand and sixteen |
| Binary (base 2) | 1100101100110000 |
| Octal (base 8) | 145460 |
| Hexadecimal (base 16) | CB30 |
| Base 3 | 2122100112 |
| As time | 52016 seconds = 14 h 26 min 56 s |
Is 52016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52016 ÷ 2 = 26008) | 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 | Yes (52016 ÷ 4 = 13004) | 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 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 | Yes (52016 ÷ 8 = 6502) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52016 a prime number?
No. 52016 = × 3251, so it is divisible by 2.
What are the factors of 52016?
1, 2, 4, 8, 16, 3251, 6502, 13004, 26008, 52016.
What is 52016 in binary?
1100101100110000 (hexadecimal CB30, octal 145460).
What is the square root of 52016?
About 228.0702, exactly 4√3251.
Is 52016 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 52016?
It is a composite number with 10 divisors.