The number 5800
5800 is a composite number with 24 divisors. Its prime factorisation is × × 29. Divisors (24): 1, 2, 4, 5, 8, 10, 20, 25, 29, 40, 50, 58, 100, 116, 145, 200 … 5800.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5800 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5800 is composite. Its prime factorisation is
- 3
The divisors add up to 13950; without 5800 itself that is 8150, so 5800 is abundant (8150 is more than 5800). Euler's totient φ(5800) = 2240 numbers up to 5800 share no factor with it.
- 4
The digits of 5800 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 23 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5800 = 2^{3} \times 5^{2} \times 29 \]5800 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 13950 |
| Euler totient φ(n) | 2240 |
| Square | 33640000 |
| Cube | 195112000000 |
| Square root | 76.157731 (= 10√58) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 23 |
| Scientific notation | 5.8 × |
5800 in other forms
| Form | Value |
|---|---|
| In words | five thousand eight hundred |
| Binary (base 2) | 1011010101000 |
| Octal (base 8) | 13250 |
| Hexadecimal (base 16) | 16A8 |
| Base 3 | 21221211 |
| As time | 5800 seconds = 1 h 36 min 40 s |
Is 5800 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5800 ÷ 2 = 2900) | 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 | Yes (5800 ÷ 4 = 1450) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (5800 ÷ 5 = 1160) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 | Yes (5800 ÷ 8 = 725) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (5800 ÷ 10 = 580) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5800 a prime number?
No. 5800 = × × 29, so it is divisible by 2.
What are the factors of 5800?
1, 2, 4, 5, 8, 10, 20, 25, 29, 40, 50, 58, 100, 116, 145, 200, 232, 290, 580, 725, 1160, 1450, 2900, 5800.
What is 5800 in binary?
1011010101000 (hexadecimal 16A8, octal 13250).
What is the square root of 5800?
About 76.1577, exactly 10√58.
Is 5800 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 5800?
It is a composite number with 24 divisors.