The number 5859
5859 is a composite number with 16 divisors. Its prime factorisation is × 7 × 31. Divisors (16): 1, 3, 7, 9, 21, 27, 31, 63, 93, 189, 217, 279, 651, 837, 1953, 5859.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5859: a Harshad number: divisible by its digit sum 27.
- 2
5859 is composite. Its prime factorisation is
- 3
The divisors add up to 10240; without 5859 itself that is 4381, so 5859 is deficient (4381 is less than 5859). Euler's totient φ(5859) = 3240 numbers up to 5859 share no factor with it.
- 4
The digits of 5859 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5859 = 3^{3} \times 7 \times 31 \]5859 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 10240 |
| Euler totient φ(n) | 3240 |
| Square | 34327881 |
| Cube | 201127054779 |
| Square root | 76.544105 (= 3√651) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 98 |
| Scientific notation | 5.859 × |
5859 in other forms
| Form | Value |
|---|---|
| In words | five thousand eight hundred and fifty-nine |
| Binary (base 2) | 1011011100011 |
| Octal (base 8) | 13343 |
| Hexadecimal (base 16) | 16E3 |
| Base 3 | 22001000 |
| As time | 5859 seconds = 1 h 37 min 39 s |
Is 5859 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 (5859 ÷ 3 = 1953) | 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 (5859 ÷ 7 = 837) | 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 | Yes (5859 ÷ 9 = 651) | 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 7) | 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 5859 a prime number?
No. 5859 = × 7 × 31, so it is divisible by 3.
What are the factors of 5859?
1, 3, 7, 9, 21, 27, 31, 63, 93, 189, 217, 279, 651, 837, 1953, 5859.
What is 5859 in binary?
1011011100011 (hexadecimal 16E3, octal 13343).
What is the square root of 5859?
About 76.5441, exactly 3√651.
Is 5859 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 5859?
5859 is a Harshad number: divisible by its digit sum 27.