The number 53104
53104 is a composite number with 10 divisors. Its prime factorisation is × 3319. Divisors (10): 1, 2, 4, 8, 16, 3319, 6638, 13276, 26552, 53104.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53104 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53104 is composite. Its prime factorisation is
- 3
The divisors add up to 102920; without 53104 itself that is 49816, so 53104 is deficient (49816 is less than 53104). Euler's totient φ(53104) = 26544 numbers up to 53104 share no factor with it.
- 4
The digits of 53104 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 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53104 = 2^{4} \times 3319 \]53104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 102920 |
| Euler totient φ(n) | 26544 |
| Square | 2820034816 |
| Cube | 149755128868864 |
| Square root | 230.443052 (= 4√3319) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.3104 × |
53104 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand one hundred and four |
| Binary (base 2) | 1100111101110000 |
| Octal (base 8) | 147560 |
| Hexadecimal (base 16) | CF70 |
| Base 3 | 2200211211 |
| As time | 53104 seconds = 14 h 45 min 4 s |
Is 53104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53104 ÷ 2 = 26552) | 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 (53104 ÷ 4 = 13276) | 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 2) | 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 (53104 ÷ 8 = 6638) | 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 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 53104 a prime number?
No. 53104 = × 3319, so it is divisible by 2.
What are the factors of 53104?
1, 2, 4, 8, 16, 3319, 6638, 13276, 26552, 53104.
What is 53104 in binary?
1100111101110000 (hexadecimal CF70, octal 147560).
What is the square root of 53104?
About 230.4431, exactly 4√3319.
Is 53104 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 53104?
It is a composite number with 10 divisors.