The number 53310
53310 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 1777. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 1777, 3554, 5331, 8885, 10662, 17770, 26655, 53310.
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How to work it out
- 1
What is special about 53310: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
53310 is composite. Its prime factorisation is
- 3
The divisors add up to 128016; without 53310 itself that is 74706, so 53310 is abundant (74706 is more than 53310). Euler's totient φ(53310) = 14208 numbers up to 53310 share no factor with it.
- 4
The digits of 53310 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53310 = 2 \times 3 \times 5 \times 1777 \]
53310 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 128016 |
| Euler totient φ(n) | 14208 |
| Square | 2841956100 |
| Cube | 151504679691000 |
| Square root | 230.889584 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.331 × |
53310 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand three hundred and ten |
| Binary (base 2) | 1101000000111110 |
| Octal (base 8) | 150076 |
| Hexadecimal (base 16) | D03E |
| Base 3 | 2201010110 |
| As time | 53310 seconds = 14 h 48 min 30 s |
Is 53310 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53310 ÷ 2 = 26655) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53310 ÷ 3 = 17770) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (53310 ÷ 5 = 10662) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (53310 ÷ 6 = 8885) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (53310 ÷ 10 = 5331) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53310 a prime number?
No. 53310 = 2 × 3 × 5 × 1777, so it is divisible by 2.
What are the factors of 53310?
1, 2, 3, 5, 6, 10, 15, 30, 1777, 3554, 5331, 8885, 10662, 17770, 26655, 53310.
What is 53310 in binary?
1101000000111110 (hexadecimal D03E, octal 150076).
What is the square root of 53310?
About 230.8896.
Is 53310 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 53310?
53310 is a happy number: repeatedly adding the squares of its digits reaches 1.