The number 13375
13375 is a composite number with 8 divisors. Its prime factorisation is Ć 107. Divisors (8): 1, 5, 25, 107, 125, 535, 2675, 13375.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13375 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13375 is composite. Its prime factorisation is
- 3
The divisors add up to 16848; without 13375 itself that is 3473, so 13375 is deficient (3473 is less than 13375). Euler's totient Ļ(13375) = 10600 numbers up to 13375 share no factor with it.
- 4
The digits of 13375 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 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13375 = 5^{3} \times 107 \]13375 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 16848 |
| Euler totient Ļ(n) | 10600 |
| Square | 178890625 |
| Cube | 2392662109375 |
| Square root | 115.650335 (= 5ā535) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 50 |
| Scientific notation | 1.3375 Ć |
13375 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and seventy-five |
| Binary (base 2) | 11010000111111 |
| Octal (base 8) | 32077 |
| Hexadecimal (base 16) | 343F |
| Base 3 | 200100101 |
| As time | 13375 seconds = 3 h 42 min 55 s |
Is 13375 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13375 Ć· 5 = 2675) | 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 7) | 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 5) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13375 a prime number?
No. 13375 = Ć 107, so it is divisible by 5.
What are the factors of 13375?
1, 5, 25, 107, 125, 535, 2675, 13375.
What is 13375 in binary?
11010000111111 (hexadecimal 343F, octal 32077).
What is the square root of 13375?
About 115.6503, exactly 5ā535.
Is 13375 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 13375?
It is a composite number with 8 divisors.