The number 1375
1375 is a composite number with 8 divisors. Its prime factorisation is × 11. Divisors (8): 1, 5, 11, 25, 55, 125, 275, 1375.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1375 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1375 is composite. Its prime factorisation is
- 3
The divisors add up to 1872; without 1375 itself that is 497, so 1375 is deficient (497 is less than 1375). Euler's totient φ(1375) = 1000 numbers up to 1375 share no factor with it.
- 4
The digits of 1375 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 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1375 = 5^{3} \times 11 \]1375 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 1872 |
| Euler totient φ(n) | 1000 |
| Square | 1890625 |
| Cube | 2599609375 |
| Square root | 37.080992 (= 5√55) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 39 |
| Scientific notation | 1.375 × |
1375 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and seventy-five |
| Roman numerals | MCCCLXXV |
| Binary (base 2) | 10101011111 |
| Octal (base 8) | 2537 |
| Hexadecimal (base 16) | 55F |
| Base 3 | 1212221 |
| As time | 1375 seconds = 22 min 55 s |
Is 1375 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 (1375 ÷ 5 = 275) | 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 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 7) | 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 | Yes (1375 ÷ 11 = 125) | 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 1375 a prime number?
No. 1375 = × 11, so it is divisible by 5.
What are the factors of 1375?
1, 5, 11, 25, 55, 125, 275, 1375.
What is 1375 in binary?
10101011111 (hexadecimal 55F, octal 2537).
What is the square root of 1375?
About 37.0810, exactly 5√55.
What is 1375 in Roman numerals?
MCCCLXXV.
Is 1375 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 1375?
It is a composite number with 8 divisors.