The number 53521
53521 is a composite number with 8 divisors. Its prime factorisation is 13 × 23 × 179. Divisors (8): 1, 13, 23, 179, 299, 2327, 4117, 53521.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53521 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53521 is composite. Its prime factorisation is
- 3
The divisors add up to 60480; without 53521 itself that is 6959, so 53521 is deficient (6959 is less than 53521). Euler's totient φ(53521) = 46992 numbers up to 53521 share no factor with it.
- 4
The digits of 53521 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 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53521 = 13 \times 23 \times 179 \]
53521 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 60480 |
| Euler totient φ(n) | 46992 |
| Square | 2864497441 |
| Cube | 153310767539761 |
| Square root | 231.346061 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.3521 × |
53521 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand five hundred and twenty-one |
| Binary (base 2) | 1101000100010001 |
| Octal (base 8) | 150421 |
| Hexadecimal (base 16) | D111 |
| Base 3 | 2201102021 |
| As time | 53521 seconds = 14 h 52 min 1 s |
Is 53521 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 | No (remainder 1) | 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 1) | 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 1) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53521 a prime number?
No. 53521 = 13 × 23 × 179, so it is divisible by 13.
What are the factors of 53521?
1, 13, 23, 179, 299, 2327, 4117, 53521.
What is 53521 in binary?
1101000100010001 (hexadecimal D111, octal 150421).
What is the square root of 53521?
About 231.3461.
Is 53521 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 53521?
It is a composite number with 8 divisors.