The number 46092
46092 is a composite number with 24 divisors. Its prime factorisation is × 3 × 23 × 167. Divisors (24): 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 167, 276, 334, 501, 668 … 46092.
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How to work it out
- 1
46092 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46092 is composite. Its prime factorisation is
- 3
The divisors add up to 112896; without 46092 itself that is 66804, so 46092 is abundant (66804 is more than 46092). Euler's totient φ(46092) = 14608 numbers up to 46092 share no factor with it.
- 4
The digits of 46092 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 176 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46092 = 2^{2} \times 3 \times 23 \times 167 \]46092 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 112896 |
| Euler totient φ(n) | 14608 |
| Square | 2124472464 |
| Cube | 97921184810688 |
| Square root | 214.690475 (= 2√11523) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 176 |
| Scientific notation | 4.6092 × |
46092 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand and ninety-two |
| Binary (base 2) | 1011010000001100 |
| Octal (base 8) | 132014 |
| Hexadecimal (base 16) | B40C |
| Base 3 | 2100020010 |
| As time | 46092 seconds = 12 h 48 min 12 s |
Is 46092 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46092 ÷ 2 = 23046) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46092 ÷ 3 = 15364) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46092 ÷ 4 = 11523) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (46092 ÷ 6 = 7682) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | No (remainder 4) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (46092 ÷ 12 = 3841) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46092 a prime number?
No. 46092 = × 3 × 23 × 167, so it is divisible by 2.
What are the factors of 46092?
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 167, 276, 334, 501, 668, 1002, 2004, 3841, 7682, 11523, 15364, 23046, 46092.
What is 46092 in binary?
1011010000001100 (hexadecimal B40C, octal 132014).
What is the square root of 46092?
About 214.6905, exactly 2√11523.
Is 46092 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 46092?
It is a composite number with 24 divisors.