The number 53320
53320 is a composite number with 32 divisors. Its prime factorisation is × 5 × 31 × 43. Divisors (32): 1, 2, 4, 5, 8, 10, 20, 31, 40, 43, 62, 86, 124, 155, 172, 215 … 53320.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53320 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53320 is composite. Its prime factorisation is
- 3
The divisors add up to 126720; without 53320 itself that is 73400, so 53320 is abundant (73400 is more than 53320). Euler's totient φ(53320) = 20160 numbers up to 53320 share no factor with it.
- 4
The digits of 53320 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53320 = 2^{3} \times 5 \times 31 \times 43 \]53320 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 126720 |
| Euler totient φ(n) | 20160 |
| Square | 2843022400 |
| Cube | 151589954368000 |
| Square root | 230.911238 (= 2√13330) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 96 |
| Scientific notation | 5.332 × |
53320 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand three hundred and twenty |
| Binary (base 2) | 1101000001001000 |
| Octal (base 8) | 150110 |
| Hexadecimal (base 16) | D048 |
| Base 3 | 2201010211 |
| As time | 53320 seconds = 14 h 48 min 40 s |
Is 53320 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53320 ÷ 2 = 26660) | 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 | Yes (53320 ÷ 4 = 13330) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (53320 ÷ 5 = 10664) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 | Yes (53320 ÷ 8 = 6665) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (53320 ÷ 10 = 5332) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53320 a prime number?
No. 53320 = × 5 × 31 × 43, so it is divisible by 2.
What are the factors of 53320?
1, 2, 4, 5, 8, 10, 20, 31, 40, 43, 62, 86, 124, 155, 172, 215, 248, 310, 344, 430, 620, 860, 1240, 1333, 1720, 2666, 5332, 6665, 10664, 13330, 26660, 53320.
What is 53320 in binary?
1101000001001000 (hexadecimal D048, octal 150110).
What is the square root of 53320?
About 230.9112, exactly 2√13330.
Is 53320 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 53320?
It is a composite number with 32 divisors.