The number 46088
46088 is a composite number with 16 divisors. Its prime factorisation is × 7 × 823. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 56, 823, 1646, 3292, 5761, 6584, 11522, 23044, 46088.
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How to work it out
- 1
46088 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46088 is composite. Its prime factorisation is
- 3
The divisors add up to 98880; without 46088 itself that is 52792, so 46088 is abundant (52792 is more than 46088). Euler's totient φ(46088) = 19728 numbers up to 46088 share no factor with it.
- 4
The digits of 46088 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 176 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46088 = 2^{3} \times 7 \times 823 \]46088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 98880 |
| Euler totient φ(n) | 19728 |
| Square | 2124103744 |
| Cube | 97895693353472 |
| Square root | 214.681159 (= 2√11522) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 176 |
| Scientific notation | 4.6088 × |
46088 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand and eighty-eight |
| Binary (base 2) | 1011010000001000 |
| Octal (base 8) | 132010 |
| Hexadecimal (base 16) | B408 |
| Base 3 | 2100012222 |
| As time | 46088 seconds = 12 h 48 min 8 s |
Is 46088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46088 ÷ 2 = 23044) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46088 ÷ 4 = 11522) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (46088 ÷ 7 = 6584) | 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 (46088 ÷ 8 = 5761) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46088 a prime number?
No. 46088 = × 7 × 823, so it is divisible by 2.
What are the factors of 46088?
1, 2, 4, 7, 8, 14, 28, 56, 823, 1646, 3292, 5761, 6584, 11522, 23044, 46088.
What is 46088 in binary?
1011010000001000 (hexadecimal B408, octal 132010).
What is the square root of 46088?
About 214.6812, exactly 2√11522.
Is 46088 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 46088?
It is a composite number with 16 divisors.