The number 52672
52672 is a composite number with 14 divisors. Its prime factorisation is × 823. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 823, 1646, 3292, 6584, 13168, 26336, 52672.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
52672 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
52672 is composite. Its prime factorisation is
- 3
The divisors add up to 104648; without 52672 itself that is 51976, so 52672 is deficient (51976 is less than 52672). Euler's totient φ(52672) = 26304 numbers up to 52672 share no factor with it.
- 4
The digits of 52672 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52672 = 2^{6} \times 823 \]52672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 104648 |
| Euler totient φ(n) | 26304 |
| Square | 2774339584 |
| Cube | 146130014568448 |
| Square root | 229.503813 (= 8√823) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.2672 × |
52672 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand six hundred and seventy-two |
| Binary (base 2) | 1100110111000000 |
| Octal (base 8) | 146700 |
| Hexadecimal (base 16) | CDC0 |
| Base 3 | 2200020211 |
| As time | 52672 seconds = 14 h 37 min 52 s |
Is 52672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52672 ÷ 2 = 26336) | 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 (52672 ÷ 4 = 13168) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 (52672 ÷ 8 = 6584) | 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 2) | 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 52672 a prime number?
No. 52672 = × 823, so it is divisible by 2.
What are the factors of 52672?
1, 2, 4, 8, 16, 32, 64, 823, 1646, 3292, 6584, 13168, 26336, 52672.
What is 52672 in binary?
1100110111000000 (hexadecimal CDC0, octal 146700).
What is the square root of 52672?
About 229.5038, exactly 8√823.
Is 52672 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 52672?
It is a composite number with 14 divisors.