The number 1335
1335 is a composite number with 8 divisors. Its prime factorisation is 3 × 5 × 89. Divisors (8): 1, 3, 5, 15, 89, 267, 445, 1335.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1335: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
1335 is composite. Its prime factorisation is
- 3
The divisors add up to 2160; without 1335 itself that is 825, so 1335 is deficient (825 is less than 1335). Euler's totient φ(1335) = 704 numbers up to 1335 share no factor with it.
- 4
The digits of 1335 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1335 = 3 \times 5 \times 89 \]
1335 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 2160 |
| Euler totient φ(n) | 704 |
| Square | 1782225 |
| Cube | 2379270375 |
| Square root | 36.537652 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 145 |
| Scientific notation | 1.335 × |
1335 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and thirty-five |
| Roman numerals | MCCCXXXV |
| Binary (base 2) | 10100110111 |
| Octal (base 8) | 2467 |
| Hexadecimal (base 16) | 537 |
| Base 3 | 1211110 |
| As time | 1335 seconds = 22 min 15 s |
Is 1335 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 (1335 ÷ 3 = 445) | 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 (1335 ÷ 5 = 267) | 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 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 3) | 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 4) | 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 1335 a prime number?
No. 1335 = 3 × 5 × 89, so it is divisible by 3.
What are the factors of 1335?
1, 3, 5, 15, 89, 267, 445, 1335.
What is 1335 in binary?
10100110111 (hexadecimal 537, octal 2467).
What is the square root of 1335?
About 36.5377.
What is 1335 in Roman numerals?
MCCCXXXV.
Is 1335 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 1335?
1335 is a happy number: repeatedly adding the squares of its digits reaches 1.