The number 1355
1355 is a composite number with 4 divisors. Its prime factorisation is 5 × 271. Divisors (4): 1, 5, 271, 1355.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1355: a semiprime: 5 × 271, the product of two primes.
- 2
1355 is composite. Its prime factorisation is
- 3
The divisors add up to 1632; without 1355 itself that is 277, so 1355 is deficient (277 is less than 1355). Euler's totient φ(1355) = 1080 numbers up to 1355 share no factor with it.
- 4
The digits of 1355 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1355 = 5 \times 271 \]
1355 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1632 |
| Euler totient φ(n) | 1080 |
| Square | 1836025 |
| Cube | 2487813875 |
| Square root | 36.810325 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 114 |
| Scientific notation | 1.355 × |
1355 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and fifty-five |
| Roman numerals | MCCCLV |
| Binary (base 2) | 10101001011 |
| Octal (base 8) | 2513 |
| Hexadecimal (base 16) | 54B |
| Base 3 | 1212012 |
| As time | 1355 seconds = 22 min 35 s |
Is 1355 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 2) | 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 (1355 ÷ 5 = 271) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | No (remainder 5) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1355 a prime number?
No. 1355 = 5 × 271, so it is divisible by 5.
What are the factors of 1355?
1, 5, 271, 1355.
What is 1355 in binary?
10101001011 (hexadecimal 54B, octal 2513).
What is the square root of 1355?
About 36.8103.
What is 1355 in Roman numerals?
MCCCLV.
Is 1355 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 1355?
1355 is a semiprime: 5 × 271, the product of two primes.