The number 53317
53317 is a composite number with 8 divisors. Its prime factorisation is 11 × 37 × 131. Divisors (8): 1, 11, 37, 131, 407, 1441, 4847, 53317.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53317 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53317 is composite. Its prime factorisation is
- 3
The divisors add up to 60192; without 53317 itself that is 6875, so 53317 is deficient (6875 is less than 53317). Euler's totient φ(53317) = 46800 numbers up to 53317 share no factor with it.
- 4
The digits of 53317 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 184 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53317 = 11 \times 37 \times 131 \]
53317 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 60192 |
| Euler totient φ(n) | 46800 |
| Square | 2842702489 |
| Cube | 151564368606013 |
| Square root | 230.904742 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 184 |
| Scientific notation | 5.3317 × |
53317 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand three hundred and seventeen |
| Binary (base 2) | 1101000001000101 |
| Octal (base 8) | 150105 |
| Hexadecimal (base 16) | D045 |
| Base 3 | 2201010201 |
| As time | 53317 seconds = 14 h 48 min 37 s |
Is 53317 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 2) | 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 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 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (53317 ÷ 11 = 4847) | 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 53317 a prime number?
No. 53317 = 11 × 37 × 131, so it is divisible by 11.
What are the factors of 53317?
1, 11, 37, 131, 407, 1441, 4847, 53317.
What is 53317 in binary?
1101000001000101 (hexadecimal D045, octal 150105).
What is the square root of 53317?
About 230.9047.
Is 53317 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 53317?
It is a composite number with 8 divisors.