The number 5353
5353 is a composite number with 4 divisors. Its prime factorisation is 53 × 101. Divisors (4): 1, 53, 101, 5353.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5353: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 53 × 101, the product of two primes.
- 2
5353 is composite. Its prime factorisation is
- 3
The divisors add up to 5508; without 5353 itself that is 155, so 5353 is deficient (155 is less than 5353). Euler's totient φ(5353) = 5200 numbers up to 5353 share no factor with it.
- 4
The digits of 5353 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5353 = 53 \times 101 \]
5353 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 5508 |
| Euler totient φ(n) | 5200 |
| Square | 28654609 |
| Cube | 153388121977 |
| Square root | 73.164199 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 46 |
| Scientific notation | 5.353 × |
5353 in other forms
| Form | Value |
|---|---|
| In words | five thousand three hundred and fifty-three |
| Binary (base 2) | 1010011101001 |
| Octal (base 8) | 12351 |
| Hexadecimal (base 16) | 14E9 |
| Base 3 | 21100021 |
| As time | 5353 seconds = 1 h 29 min 13 s |
Is 5353 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 1) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5353 a prime number?
No. 5353 = 53 × 101, so it is divisible by 53.
What are the factors of 5353?
1, 53, 101, 5353.
What is 5353 in binary?
1010011101001 (hexadecimal 14E9, octal 12351).
What is the square root of 5353?
About 73.1642.
Is 5353 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 5353?
5353 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 53 × 101, the product of two primes.