The number 53352
53352 is a composite number with 64 divisors. Its prime factorisation is × × 13 × 19. Divisors (64): 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 19, 24, 26, 27, 36, 38 … 53352.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53352: a Harshad number: divisible by its digit sum 18.
- 2
53352 is composite. Its prime factorisation is
- 3
The divisors add up to 168000; without 53352 itself that is 114648, so 53352 is abundant (114648 is more than 53352). Euler's totient φ(53352) = 15552 numbers up to 53352 share no factor with it.
- 4
The digits of 53352 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53352 = 2^{3} \times 3^{3} \times 13 \times 19 \]53352 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 168000 |
| Euler totient φ(n) | 15552 |
| Square | 2846435904 |
| Cube | 151863048350208 |
| Square root | 230.980519 (= 6√1482) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 34 |
| Scientific notation | 5.3352 × |
53352 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand three hundred and fifty-two |
| Binary (base 2) | 1101000001101000 |
| Octal (base 8) | 150150 |
| Hexadecimal (base 16) | D068 |
| Base 3 | 2201012000 |
| As time | 53352 seconds = 14 h 49 min 12 s |
Is 53352 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53352 ÷ 2 = 26676) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53352 ÷ 3 = 17784) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (53352 ÷ 4 = 13338) | 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 | Yes (53352 ÷ 6 = 8892) | 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 (53352 ÷ 8 = 6669) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (53352 ÷ 9 = 5928) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (53352 ÷ 12 = 4446) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53352 a prime number?
No. 53352 = × × 13 × 19, so it is divisible by 2.
What are the factors of 53352?
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 19, 24, 26, 27, 36, 38, 39, 52, 54, 57, 72, 76, 78, 104, 108, 114, 117, 152, 156, 171, 216, 228, 234, 247, 312, 342, 351, 456, 468, 494, 513, 684, 702, 741, 936, 988, 1026, 1368, 1404, 1482, 1976, 2052, 2223, 2808, 2964, 4104, 4446, 5928, 6669, 8892, 13338, 17784, 26676, 53352.
What is 53352 in binary?
1101000001101000 (hexadecimal D068, octal 150150).
What is the square root of 53352?
About 230.9805, exactly 6√1482.
Is 53352 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 53352?
53352 is a Harshad number: divisible by its digit sum 18.