The number 5357
5357 is a composite number with 4 divisors. Its prime factorisation is 11 × 487. Divisors (4): 1, 11, 487, 5357.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5357: a semiprime: 11 × 487, the product of two primes.
- 2
5357 is composite. Its prime factorisation is
- 3
The divisors add up to 5856; without 5357 itself that is 499, so 5357 is deficient (499 is less than 5357). Euler's totient φ(5357) = 4860 numbers up to 5357 share no factor with it.
- 4
The digits of 5357 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 28 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5357 = 11 \times 487 \]
5357 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 5856 |
| Euler totient φ(n) | 4860 |
| Square | 28697449 |
| Cube | 153732234293 |
| Square root | 73.191530 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 28 |
| Scientific notation | 5.357 × |
5357 in other forms
| Form | Value |
|---|---|
| In words | five thousand three hundred and fifty-seven |
| Binary (base 2) | 1010011101101 |
| Octal (base 8) | 12355 |
| Hexadecimal (base 16) | 14ED |
| Base 3 | 21100102 |
| As time | 5357 seconds = 1 h 29 min 17 s |
Is 5357 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (5357 ÷ 11 = 487) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5357 a prime number?
No. 5357 = 11 × 487, so it is divisible by 11.
What are the factors of 5357?
1, 11, 487, 5357.
What is 5357 in binary?
1010011101101 (hexadecimal 14ED, octal 12355).
What is the square root of 5357?
About 73.1915.
Is 5357 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 5357?
5357 is a semiprime: 11 × 487, the product of two primes.