The number 1395
1395 is a composite number with 12 divisors. Its prime factorisation is × 5 × 31. Divisors (12): 1, 3, 5, 9, 15, 31, 45, 93, 155, 279, 465, 1395.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1395 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1395 is composite. Its prime factorisation is
- 3
The divisors add up to 2496; without 1395 itself that is 1101, so 1395 is deficient (1101 is less than 1395). Euler's totient φ(1395) = 720 numbers up to 1395 share no factor with it.
- 4
The digits of 1395 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1395 = 3^{2} \times 5 \times 31 \]1395 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 2496 |
| Euler totient φ(n) | 720 |
| Square | 1946025 |
| Cube | 2714704875 |
| Square root | 37.349699 (= 3√155) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 127 |
| Scientific notation | 1.395 × |
1395 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and ninety-five |
| Roman numerals | MCCCXCV |
| Binary (base 2) | 10101110011 |
| Octal (base 8) | 2563 |
| Hexadecimal (base 16) | 573 |
| Base 3 | 1220200 |
| As time | 1395 seconds = 23 min 15 s |
Is 1395 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 (1395 ÷ 3 = 465) | 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 (1395 ÷ 5 = 279) | 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 2) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (1395 ÷ 9 = 155) | 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 9) | 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 1395 a prime number?
No. 1395 = × 5 × 31, so it is divisible by 3.
What are the factors of 1395?
1, 3, 5, 9, 15, 31, 45, 93, 155, 279, 465, 1395.
What is 1395 in binary?
10101110011 (hexadecimal 573, octal 2563).
What is the square root of 1395?
About 37.3497, exactly 3√155.
What is 1395 in Roman numerals?
MCCCXCV.
Is 1395 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 1395?
It is a composite number with 12 divisors.