The number 53380
53380 is a composite number with 24 divisors. Its prime factorisation is × 5 × 17 × 157. Divisors (24): 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 157, 170, 314, 340, 628, 785 … 53380.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53380 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53380 is composite. Its prime factorisation is
- 3
The divisors add up to 119448; without 53380 itself that is 66068, so 53380 is abundant (66068 is more than 53380). Euler's totient φ(53380) = 19968 numbers up to 53380 share no factor with it.
- 4
The digits of 53380 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 171 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53380 = 2^{2} \times 5 \times 17 \times 157 \]53380 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 119448 |
| Euler totient φ(n) | 19968 |
| Square | 2849424400 |
| Cube | 152102274472000 |
| Square root | 231.041122 (= 2√13345) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 171 |
| Scientific notation | 5.338 × |
53380 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand three hundred and eighty |
| Binary (base 2) | 1101000010000100 |
| Octal (base 8) | 150204 |
| Hexadecimal (base 16) | D084 |
| Base 3 | 2201020001 |
| As time | 53380 seconds = 14 h 49 min 40 s |
Is 53380 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53380 ÷ 2 = 26690) | 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 (53380 ÷ 4 = 13345) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (53380 ÷ 5 = 10676) | 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 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 4) | 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 | Yes (53380 ÷ 10 = 5338) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 53380 a prime number?
No. 53380 = × 5 × 17 × 157, so it is divisible by 2.
What are the factors of 53380?
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 157, 170, 314, 340, 628, 785, 1570, 2669, 3140, 5338, 10676, 13345, 26690, 53380.
What is 53380 in binary?
1101000010000100 (hexadecimal D084, octal 150204).
What is the square root of 53380?
About 231.0411, exactly 2√13345.
Is 53380 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 53380?
It is a composite number with 24 divisors.