The number 13353
13353 is a composite number with 4 divisors. Its prime factorisation is 3 × 4451. Divisors (4): 1, 3, 4451, 13353.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13353: a semiprime: 3 × 4451, the product of two primes.
- 2
13353 is composite. Its prime factorisation is
- 3
The divisors add up to 17808; without 13353 itself that is 4455, so 13353 is deficient (4455 is less than 13353). Euler's totient φ(13353) = 8900 numbers up to 13353 share no factor with it.
- 4
The digits of 13353 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13353 = 3 \times 4451 \]
13353 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 17808 |
| Euler totient φ(n) | 8900 |
| Square | 178302609 |
| Cube | 2380874737977 |
| Square root | 115.555182 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 68 |
| Scientific notation | 1.3353 × |
13353 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and fifty-three |
| Binary (base 2) | 11010000101001 |
| Octal (base 8) | 32051 |
| Hexadecimal (base 16) | 3429 |
| Base 3 | 200022120 |
| As time | 13353 seconds = 3 h 42 min 33 s |
Is 13353 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 | Yes (13353 ÷ 3 = 4451) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 6) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13353 a prime number?
No. 13353 = 3 × 4451, so it is divisible by 3.
What are the factors of 13353?
1, 3, 4451, 13353.
What is 13353 in binary?
11010000101001 (hexadecimal 3429, octal 32051).
What is the square root of 13353?
About 115.5552.
Is 13353 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 13353?
13353 is a semiprime: 3 × 4451, the product of two primes.