The number 13359
13359 is a composite number with 8 divisors. Its prime factorisation is 3 × 61 × 73. Divisors (8): 1, 3, 61, 73, 183, 219, 4453, 13359.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13359 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13359 is composite. Its prime factorisation is
- 3
The divisors add up to 18352; without 13359 itself that is 4993, so 13359 is deficient (4993 is less than 13359). Euler's totient φ(13359) = 8640 numbers up to 13359 share no factor with it.
- 4
The digits of 13359 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13359 = 3 \times 61 \times 73 \]
13359 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 18352 |
| Euler totient φ(n) | 8640 |
| Square | 178462881 |
| Cube | 2384085627279 |
| Square root | 115.581140 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 68 |
| Scientific notation | 1.3359 × |
13359 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and fifty-nine |
| Binary (base 2) | 11010000101111 |
| Octal (base 8) | 32057 |
| Hexadecimal (base 16) | 342F |
| Base 3 | 200022210 |
| As time | 13359 seconds = 3 h 42 min 39 s |
Is 13359 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 (13359 ÷ 3 = 4453) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13359 a prime number?
No. 13359 = 3 × 61 × 73, so it is divisible by 3.
What are the factors of 13359?
1, 3, 61, 73, 183, 219, 4453, 13359.
What is 13359 in binary?
11010000101111 (hexadecimal 342F, octal 32057).
What is the square root of 13359?
About 115.5811.
Is 13359 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 13359?
It is a composite number with 8 divisors.