The number 53410
53410 is a composite number with 24 divisors. Its prime factorisation is 2 × 5 × × 109. Divisors (24): 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 109, 218, 245, 490, 545, 763 … 53410.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53410 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53410 is composite. Its prime factorisation is
- 3
The divisors add up to 112860; without 53410 itself that is 59450, so 53410 is abundant (59450 is more than 53410). Euler's totient φ(53410) = 18144 numbers up to 53410 share no factor with it.
- 4
The digits of 53410 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 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53410 = 2 \times 5 \times 7^{2} \times 109 \]53410 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 112860 |
| Euler totient φ(n) | 18144 |
| Square | 2852628100 |
| Cube | 152358866821000 |
| Square root | 231.106036 (= 7√1090) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 70 |
| Scientific notation | 5.341 × |
53410 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand four hundred and ten |
| Binary (base 2) | 1101000010100010 |
| Octal (base 8) | 150242 |
| Hexadecimal (base 16) | D0A2 |
| Base 3 | 2201021011 |
| As time | 53410 seconds = 14 h 50 min 10 s |
Is 53410 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53410 ÷ 2 = 26705) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (53410 ÷ 5 = 10682) | 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 | Yes (53410 ÷ 7 = 7630) | 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 2) | 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 (53410 ÷ 10 = 5341) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53410 a prime number?
No. 53410 = 2 × 5 × × 109, so it is divisible by 2.
What are the factors of 53410?
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 109, 218, 245, 490, 545, 763, 1090, 1526, 3815, 5341, 7630, 10682, 26705, 53410.
What is 53410 in binary?
1101000010100010 (hexadecimal D0A2, octal 150242).
What is the square root of 53410?
About 231.1060, exactly 7√1090.
Is 53410 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 53410?
It is a composite number with 24 divisors.