The number 5817
5817 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 277. Divisors (8): 1, 3, 7, 21, 277, 831, 1939, 5817.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5817: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.
- 2
5817 is composite. Its prime factorisation is
- 3
The divisors add up to 8896; without 5817 itself that is 3079, so 5817 is deficient (3079 is less than 5817). Euler's totient φ(5817) = 3312 numbers up to 5817 share no factor with it.
- 4
The digits of 5817 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 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5817 = 3 \times 7 \times 277 \]
5817 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 8896 |
| Euler totient φ(n) | 3312 |
| Square | 33837489 |
| Cube | 196832673513 |
| Square root | 76.269260 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 142 |
| Scientific notation | 5.817 × |
5817 in other forms
| Form | Value |
|---|---|
| In words | five thousand eight hundred and seventeen |
| Binary (base 2) | 1011010111001 |
| Octal (base 8) | 13271 |
| Hexadecimal (base 16) | 16B9 |
| Base 3 | 21222110 |
| As time | 5817 seconds = 1 h 36 min 57 s |
Is 5817 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 (5817 ÷ 3 = 1939) | 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 2) | 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 (5817 ÷ 7 = 831) | 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 1) | 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 7) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5817 a prime number?
No. 5817 = 3 × 7 × 277, so it is divisible by 3.
What are the factors of 5817?
1, 3, 7, 21, 277, 831, 1939, 5817.
What is 5817 in binary?
1011010111001 (hexadecimal 16B9, octal 13271).
What is the square root of 5817?
About 76.2693.
Is 5817 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 5817?
5817 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.