The number 1339
1339 is a composite number with 4 divisors. Its prime factorisation is 13 × 103. Divisors (4): 1, 13, 103, 1339.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1339: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 103, the product of two primes.
- 2
1339 is composite. Its prime factorisation is
- 3
The divisors add up to 1456; without 1339 itself that is 117, so 1339 is deficient (117 is less than 1339). Euler's totient φ(1339) = 1224 numbers up to 1339 share no factor with it.
- 4
The digits of 1339 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 26 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1339 = 13 \times 103 \]
1339 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1456 |
| Euler totient φ(n) | 1224 |
| Square | 1792921 |
| Cube | 2400721219 |
| Square root | 36.592349 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 26 |
| Scientific notation | 1.339 × |
1339 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and thirty-nine |
| Roman numerals | MCCCXXXIX |
| Binary (base 2) | 10100111011 |
| Octal (base 8) | 2473 |
| Hexadecimal (base 16) | 53B |
| Base 3 | 1211121 |
| As time | 1339 seconds = 22 min 19 s |
Is 1339 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 | No (remainder 4) | 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 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 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 1339 a prime number?
No. 1339 = 13 × 103, so it is divisible by 13.
What are the factors of 1339?
1, 13, 103, 1339.
What is 1339 in binary?
10100111011 (hexadecimal 53B, octal 2473).
What is the square root of 1339?
About 36.5923.
What is 1339 in Roman numerals?
MCCCXXXIX.
Is 1339 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 1339?
1339 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 103, the product of two primes.