The number 53332
53332 is a composite number with 12 divisors. Its prime factorisation is × 67 × 199. Divisors (12): 1, 2, 4, 67, 134, 199, 268, 398, 796, 13333, 26666, 53332.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53332 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53332 is composite. Its prime factorisation is
- 3
The divisors add up to 95200; without 53332 itself that is 41868, so 53332 is deficient (41868 is less than 53332). Euler's totient φ(53332) = 26136 numbers up to 53332 share no factor with it.
- 4
The digits of 53332 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 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53332 = 2^{2} \times 67 \times 199 \]53332 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 95200 |
| Euler totient φ(n) | 26136 |
| Square | 2844302224 |
| Cube | 151692326210368 |
| Square root | 230.937221 (= 2√13333) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 34 |
| Scientific notation | 5.3332 × |
53332 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand three hundred and thirty-two |
| Binary (base 2) | 1101000001010100 |
| Octal (base 8) | 150124 |
| Hexadecimal (base 16) | D054 |
| Base 3 | 2201011021 |
| As time | 53332 seconds = 14 h 48 min 52 s |
Is 53332 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53332 ÷ 2 = 26666) | 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 (53332 ÷ 4 = 13333) | 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 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 | No (remainder 4) | 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 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 53332 a prime number?
No. 53332 = × 67 × 199, so it is divisible by 2.
What are the factors of 53332?
1, 2, 4, 67, 134, 199, 268, 398, 796, 13333, 26666, 53332.
What is 53332 in binary?
1101000001010100 (hexadecimal D054, octal 150124).
What is the square root of 53332?
About 230.9372, exactly 2√13333.
Is 53332 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 53332?
It is a composite number with 12 divisors.