The number 1439
1439 is the 228th prime number. Its only divisors are 1 and 1439.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1439: the 228th prime number.
- 2
1439 is prime, so its only factors are 1 and 1439. It is the 228th prime; the next prime is 1447 and the one before is 1433.
- 3
The divisors add up to 1440; without 1439 itself that is 1, so 1439 is deficient (1 is less than 1439). Euler's totient φ(1439) = 1438 numbers up to 1439 share no factor with it.
- 4
The digits of 1439 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
1439 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 1440 |
| Euler totient φ(n) | 1438 |
| Square | 2070721 |
| Cube | 2979767519 |
| Square root | 37.934153 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 127 |
| Scientific notation | 1.439 × |
1439 in other forms
| Form | Value |
|---|---|
| In words | one thousand four hundred and thirty-nine |
| Roman numerals | MCDXXXIX |
| Binary (base 2) | 10110011111 |
| Octal (base 8) | 2637 |
| Hexadecimal (base 16) | 59F |
| Base 3 | 1222022 |
| As time | 1439 seconds = 23 min 59 s |
Is 1439 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 | No (remainder 4) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 9) | 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 1439 a prime number?
Yes. 1439 is divisible only by 1 and itself.
What are the factors of 1439?
1, 1439.
What is 1439 in binary?
10110011111 (hexadecimal 59F, octal 2637).
What is the square root of 1439?
About 37.9342.
What is 1439 in Roman numerals?
MCDXXXIX.
Is 1439 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 1439?
1439 is the 228th prime number.