The number 5350
5350 is a composite number with 12 divisors. Its prime factorisation is 2 × × 107. Divisors (12): 1, 2, 5, 10, 25, 50, 107, 214, 535, 1070, 2675, 5350.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5350 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5350 is composite. Its prime factorisation is
- 3
The divisors add up to 10044; without 5350 itself that is 4694, so 5350 is deficient (4694 is less than 5350). Euler's totient φ(5350) = 2120 numbers up to 5350 share no factor with it.
- 4
The digits of 5350 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 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5350 = 2 \times 5^{2} \times 107 \]5350 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 10044 |
| Euler totient φ(n) | 2120 |
| Square | 28622500 |
| Cube | 153130375000 |
| Square root | 73.143694 (= 5√214) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 46 |
| Scientific notation | 5.35 × |
5350 in other forms
| Form | Value |
|---|---|
| In words | five thousand three hundred and fifty |
| Binary (base 2) | 1010011100110 |
| Octal (base 8) | 12346 |
| Hexadecimal (base 16) | 14E6 |
| Base 3 | 21100011 |
| As time | 5350 seconds = 1 h 29 min 10 s |
Is 5350 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5350 ÷ 2 = 2675) | 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 (5350 ÷ 5 = 1070) | 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 2) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (5350 ÷ 10 = 535) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5350 a prime number?
No. 5350 = 2 × × 107, so it is divisible by 2.
What are the factors of 5350?
1, 2, 5, 10, 25, 50, 107, 214, 535, 1070, 2675, 5350.
What is 5350 in binary?
1010011100110 (hexadecimal 14E6, octal 12346).
What is the square root of 5350?
About 73.1437, exactly 5√214.
Is 5350 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 5350?
It is a composite number with 12 divisors.