The number 5439
5439 is a composite number with 12 divisors. Its prime factorisation is 3 × × 37. Divisors (12): 1, 3, 7, 21, 37, 49, 111, 147, 259, 777, 1813, 5439.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5439: a Harshad number: divisible by its digit sum 21.
- 2
5439 is composite. Its prime factorisation is
- 3
The divisors add up to 8664; without 5439 itself that is 3225, so 5439 is deficient (3225 is less than 5439). Euler's totient φ(5439) = 3024 numbers up to 5439 share no factor with it.
- 4
The digits of 5439 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5439 = 3 \times 7^{2} \times 37 \]5439 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 8664 |
| Euler totient φ(n) | 3024 |
| Square | 29582721 |
| Cube | 160900419519 |
| Square root | 73.749576 (= 7√111) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 67 |
| Scientific notation | 5.439 × |
5439 in other forms
| Form | Value |
|---|---|
| In words | five thousand four hundred and thirty-nine |
| Binary (base 2) | 1010100111111 |
| Octal (base 8) | 12477 |
| Hexadecimal (base 16) | 153F |
| Base 3 | 21110110 |
| As time | 5439 seconds = 1 h 30 min 39 s |
Is 5439 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 (5439 ÷ 3 = 1813) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (5439 ÷ 7 = 777) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 5439 a prime number?
No. 5439 = 3 × × 37, so it is divisible by 3.
What are the factors of 5439?
1, 3, 7, 21, 37, 49, 111, 147, 259, 777, 1813, 5439.
What is 5439 in binary?
1010100111111 (hexadecimal 153F, octal 12477).
What is the square root of 5439?
About 73.7496, exactly 7√111.
Is 5439 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 5439?
5439 is a Harshad number: divisible by its digit sum 21.