The number 46104
46104 is a composite number with 32 divisors. Its prime factorisation is × 3 × 17 × 113. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 113, 136, 204 … 46104.
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How to work it out
- 1
46104 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46104 is composite. Its prime factorisation is
- 3
The divisors add up to 123120; without 46104 itself that is 77016, so 46104 is abundant (77016 is more than 46104). Euler's totient φ(46104) = 14336 numbers up to 46104 share no factor with it.
- 4
The digits of 46104 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46104 = 2^{3} \times 3 \times 17 \times 113 \]46104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 123120 |
| Euler totient φ(n) | 14336 |
| Square | 2125578816 |
| Cube | 97997685732864 |
| Square root | 214.718420 (= 2√11526) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.6104 × |
46104 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand one hundred and four |
| Binary (base 2) | 1011010000011000 |
| Octal (base 8) | 132030 |
| Hexadecimal (base 16) | B418 |
| Base 3 | 2100020120 |
| As time | 46104 seconds = 12 h 48 min 24 s |
Is 46104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46104 ÷ 2 = 23052) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46104 ÷ 3 = 15368) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46104 ÷ 4 = 11526) | 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 (46104 ÷ 6 = 7684) | 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 (46104 ÷ 8 = 5763) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (46104 ÷ 12 = 3842) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46104 a prime number?
No. 46104 = × 3 × 17 × 113, so it is divisible by 2.
What are the factors of 46104?
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 113, 136, 204, 226, 339, 408, 452, 678, 904, 1356, 1921, 2712, 3842, 5763, 7684, 11526, 15368, 23052, 46104.
What is 46104 in binary?
1011010000011000 (hexadecimal B418, octal 132030).
What is the square root of 46104?
About 214.7184, exactly 2√11526.
Is 46104 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 46104?
It is a composite number with 32 divisors.