The number 5900
5900 is a composite number with 18 divisors. Its prime factorisation is × × 59. Divisors (18): 1, 2, 4, 5, 10, 20, 25, 50, 59, 100, 118, 236, 295, 590, 1180, 1475 … 5900.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5900 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5900 is composite. Its prime factorisation is
- 3
The divisors add up to 13020; without 5900 itself that is 7120, so 5900 is abundant (7120 is more than 5900). Euler's totient φ(5900) = 2320 numbers up to 5900 share no factor with it.
- 4
The digits of 5900 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5900 = 2^{2} \times 5^{2} \times 59 \]5900 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 13020 |
| Euler totient φ(n) | 2320 |
| Square | 34810000 |
| Cube | 205379000000 |
| Square root | 76.811457 (= 10√59) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 142 |
| Scientific notation | 5.9 × |
5900 in other forms
| Form | Value |
|---|---|
| In words | five thousand nine hundred |
| Binary (base 2) | 1011100001100 |
| Octal (base 8) | 13414 |
| Hexadecimal (base 16) | 170C |
| Base 3 | 22002112 |
| As time | 5900 seconds = 1 h 38 min 20 s |
Is 5900 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5900 ÷ 2 = 2950) | 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 | Yes (5900 ÷ 4 = 1475) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (5900 ÷ 5 = 1180) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (5900 ÷ 10 = 590) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5900 a prime number?
No. 5900 = × × 59, so it is divisible by 2.
What are the factors of 5900?
1, 2, 4, 5, 10, 20, 25, 50, 59, 100, 118, 236, 295, 590, 1180, 1475, 2950, 5900.
What is 5900 in binary?
1011100001100 (hexadecimal 170C, octal 13414).
What is the square root of 5900?
About 76.8115, exactly 10√59.
Is 5900 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 5900?
It is a composite number with 18 divisors.