The number 53361
53361 is a perfect square (231²). Its prime factorisation is × × . Divisors (27): 1, 3, 7, 9, 11, 21, 33, 49, 63, 77, 99, 121, 147, 231, 363, 441 … 53361.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53361: a perfect square (231²).
- 2
53361 is composite. Its prime factorisation is
- 3
The divisors add up to 98553; without 53361 itself that is 45192, so 53361 is deficient (45192 is less than 53361). Euler's totient φ(53361) = 27720 numbers up to 53361 share no factor with it.
- 4
The digits of 53361 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
\[ 53361 = 3^{2} \times 7^{2} \times 11^{2} \]53361 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 27 |
| Sum of divisors | 98553 |
| Euler totient φ(n) | 27720 |
| Square | 2847396321 |
| Cube | 151939915084881 |
| Square root | 231 |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 34 |
| Scientific notation | 5.3361 × |
| Perfect power |
53361 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand three hundred and sixty-one |
| Binary (base 2) | 1101000001110001 |
| Octal (base 8) | 150161 |
| Hexadecimal (base 16) | D071 |
| Base 3 | 2201012100 |
| As time | 53361 seconds = 14 h 49 min 21 s |
Is 53361 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53361 ÷ 3 = 17787) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (53361 ÷ 7 = 7623) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (53361 ÷ 9 = 5929) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (53361 ÷ 11 = 4851) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53361 a prime number?
No. 53361 = × × , so it is divisible by 3.
What are the factors of 53361?
1, 3, 7, 9, 11, 21, 33, 49, 63, 77, 99, 121, 147, 231, 363, 441, 539, 693, 847, 1089, 1617, 2541, 4851, 5929, 7623, 17787, 53361.
What is 53361 in binary?
1101000001110001 (hexadecimal D071, octal 150161).
What is the square root of 53361?
231, because 231 × 231 = 53361.
Is 53361 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 53361?
53361 is a perfect square (231²).