The number 13357
13357 is a composite number with 6 divisors. Its prime factorisation is Ć 37. Divisors (6): 1, 19, 37, 361, 703, 13357.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13357: a Harshad number: divisible by its digit sum 19.
- 2
13357 is composite. Its prime factorisation is
- 3
The divisors add up to 14478; without 13357 itself that is 1121, so 13357 is deficient (1121 is less than 13357). Euler's totient Ļ(13357) = 12312 numbers up to 13357 share no factor with it.
- 4
The digits of 13357 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13357 = 19^{2} \times 37 \]13357 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 14478 |
| Euler totient Ļ(n) | 12312 |
| Square | 178409449 |
| Cube | 2383015010293 |
| Square root | 115.572488 (= 19ā37) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 94 |
| Scientific notation | 1.3357 Ć |
13357 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and fifty-seven |
| Binary (base 2) | 11010000101101 |
| Octal (base 8) | 32055 |
| Hexadecimal (base 16) | 342D |
| Base 3 | 200022201 |
| As time | 13357 seconds = 3 h 42 min 37 s |
Is 13357 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 2) | 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 1) | 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 1) | 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 | No (remainder 3) | 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 13357 a prime number?
No. 13357 = Ć 37, so it is divisible by 19.
What are the factors of 13357?
1, 19, 37, 361, 703, 13357.
What is 13357 in binary?
11010000101101 (hexadecimal 342D, octal 32055).
What is the square root of 13357?
About 115.5725, exactly 19ā37.
Is 13357 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 13357?
13357 is a Harshad number: divisible by its digit sum 19.