The number 1333
1333 is a composite number with 4 divisors. Its prime factorisation is 31 × 43. Divisors (4): 1, 31, 43, 1333.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1333: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 31 × 43, the product of two primes.
- 2
1333 is composite. Its prime factorisation is
- 3
The divisors add up to 1408; without 1333 itself that is 75, so 1333 is deficient (75 is less than 1333). Euler's totient φ(1333) = 1260 numbers up to 1333 share no factor with it.
- 4
The digits of 1333 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1333 = 31 \times 43 \]
1333 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1408 |
| Euler totient φ(n) | 1260 |
| Square | 1776889 |
| Cube | 2368593037 |
| Square root | 36.510273 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 114 |
| Scientific notation | 1.333 × |
1333 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and thirty-three |
| Roman numerals | MCCCXXXIII |
| Binary (base 2) | 10100110101 |
| Octal (base 8) | 2465 |
| Hexadecimal (base 16) | 535 |
| Base 3 | 1211101 |
| As time | 1333 seconds = 22 min 13 s |
Is 1333 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 5) | 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 3) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1333 a prime number?
No. 1333 = 31 × 43, so it is divisible by 31.
What are the factors of 1333?
1, 31, 43, 1333.
What is 1333 in binary?
10100110101 (hexadecimal 535, octal 2465).
What is the square root of 1333?
About 36.5103.
What is 1333 in Roman numerals?
MCCCXXXIII.
Is 1333 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 1333?
1333 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 31 × 43, the product of two primes.