The number 59104
59104 is a composite number with 12 divisors. Its prime factorisation is × 1847. Divisors (12): 1, 2, 4, 8, 16, 32, 1847, 3694, 7388, 14776, 29552, 59104.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
59104 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
59104 is composite. Its prime factorisation is
- 3
The divisors add up to 116424; without 59104 itself that is 57320, so 59104 is deficient (57320 is less than 59104). Euler's totient φ(59104) = 29536 numbers up to 59104 share no factor with it.
- 4
The digits of 59104 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59104 = 2^{5} \times 1847 \]59104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 116424 |
| Euler totient φ(n) | 29536 |
| Square | 3493282816 |
| Cube | 206466987556864 |
| Square root | 243.113142 (= 4√3694) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.9104 × |
59104 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand one hundred and four |
| Binary (base 2) | 1110011011100000 |
| Octal (base 8) | 163340 |
| Hexadecimal (base 16) | E6E0 |
| Base 3 | 10000002001 |
| As time | 59104 seconds = 16 h 25 min 4 s |
Is 59104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59104 ÷ 2 = 29552) | 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 (59104 ÷ 4 = 14776) | 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 3) | 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 (59104 ÷ 8 = 7388) | 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 | No (remainder 1) | 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 59104 a prime number?
No. 59104 = × 1847, so it is divisible by 2.
What are the factors of 59104?
1, 2, 4, 8, 16, 32, 1847, 3694, 7388, 14776, 29552, 59104.
What is 59104 in binary?
1110011011100000 (hexadecimal E6E0, octal 163340).
What is the square root of 59104?
About 243.1131, exactly 4√3694.
Is 59104 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 59104?
It is a composite number with 12 divisors.