The number 5104
5104 is a composite number with 20 divisors. Its prime factorisation is × 11 × 29. Divisors (20): 1, 2, 4, 8, 11, 16, 22, 29, 44, 58, 88, 116, 176, 232, 319, 464 … 5104.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5104 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5104 is composite. Its prime factorisation is
- 3
The divisors add up to 11160; without 5104 itself that is 6056, so 5104 is abundant (6056 is more than 5104). Euler's totient φ(5104) = 2240 numbers up to 5104 share no factor with it.
- 4
The digits of 5104 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5104 = 2^{4} \times 11 \times 29 \]5104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 11160 |
| Euler totient φ(n) | 2240 |
| Square | 26050816 |
| Cube | 132963364864 |
| Square root | 71.442284 (= 4√319) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 59 |
| Scientific notation | 5.104 × |
5104 in other forms
| Form | Value |
|---|---|
| In words | five thousand one hundred and four |
| Binary (base 2) | 1001111110000 |
| Octal (base 8) | 11760 |
| Hexadecimal (base 16) | 13F0 |
| Base 3 | 21000001 |
| As time | 5104 seconds = 1 h 25 min 4 s |
Is 5104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5104 ÷ 2 = 2552) | 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 (5104 ÷ 4 = 1276) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (5104 ÷ 8 = 638) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (5104 ÷ 11 = 464) | 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 5104 a prime number?
No. 5104 = × 11 × 29, so it is divisible by 2.
What are the factors of 5104?
1, 2, 4, 8, 11, 16, 22, 29, 44, 58, 88, 116, 176, 232, 319, 464, 638, 1276, 2552, 5104.
What is 5104 in binary?
1001111110000 (hexadecimal 13F0, octal 11760).
What is the square root of 5104?
About 71.4423, exactly 4√319.
Is 5104 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 5104?
It is a composite number with 20 divisors.