The number 53313
53313 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 1367. Divisors (8): 1, 3, 13, 39, 1367, 4101, 17771, 53313.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53313 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53313 is composite. Its prime factorisation is
- 3
The divisors add up to 76608; without 53313 itself that is 23295, so 53313 is deficient (23295 is less than 53313). Euler's totient φ(53313) = 32784 numbers up to 53313 share no factor with it.
- 4
The digits of 53313 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53313 = 3 \times 13 \times 1367 \]
53313 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 76608 |
| Euler totient φ(n) | 32784 |
| Square | 2842275969 |
| Cube | 151530258735297 |
| Square root | 230.896081 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 70 |
| Scientific notation | 5.3313 × |
53313 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand three hundred and thirteen |
| Binary (base 2) | 1101000001000001 |
| Octal (base 8) | 150101 |
| Hexadecimal (base 16) | D041 |
| Base 3 | 2201010120 |
| As time | 53313 seconds = 14 h 48 min 33 s |
Is 53313 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 (53313 ÷ 3 = 17771) | 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 3) | 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 | No (remainder 1) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 53313 a prime number?
No. 53313 = 3 × 13 × 1367, so it is divisible by 3.
What are the factors of 53313?
1, 3, 13, 39, 1367, 4101, 17771, 53313.
What is 53313 in binary?
1101000001000001 (hexadecimal D041, octal 150101).
What is the square root of 53313?
About 230.8961.
Is 53313 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 53313?
It is a composite number with 8 divisors.