The number 52104
52104 is a composite number with 32 divisors. Its prime factorisation is × 3 × 13 × 167. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 167 … 52104.
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How to work it out
- 1
What is special about 52104: a Harshad number: divisible by its digit sum 12.
- 2
52104 is composite. Its prime factorisation is
- 3
The divisors add up to 141120; without 52104 itself that is 89016, so 52104 is abundant (89016 is more than 52104). Euler's totient φ(52104) = 15936 numbers up to 52104 share no factor with it.
- 4
The digits of 52104 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52104 = 2^{3} \times 3 \times 13 \times 167 \]52104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 141120 |
| Euler totient φ(n) | 15936 |
| Square | 2714826816 |
| Cube | 141453336420864 |
| Square root | 228.263006 (= 2√13026) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.2104 × |
52104 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand one hundred and four |
| Binary (base 2) | 1100101110001000 |
| Octal (base 8) | 145610 |
| Hexadecimal (base 16) | CB88 |
| Base 3 | 2122110210 |
| As time | 52104 seconds = 14 h 28 min 24 s |
Is 52104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52104 ÷ 2 = 26052) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (52104 ÷ 3 = 17368) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (52104 ÷ 4 = 13026) | 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 | Yes (52104 ÷ 6 = 8684) | 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 (52104 ÷ 8 = 6513) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (52104 ÷ 12 = 4342) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52104 a prime number?
No. 52104 = × 3 × 13 × 167, so it is divisible by 2.
What are the factors of 52104?
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 167, 312, 334, 501, 668, 1002, 1336, 2004, 2171, 4008, 4342, 6513, 8684, 13026, 17368, 26052, 52104.
What is 52104 in binary?
1100101110001000 (hexadecimal CB88, octal 145610).
What is the square root of 52104?
About 228.2630, exactly 2√13026.
Is 52104 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 52104?
52104 is a Harshad number: divisible by its digit sum 12.