The number 46888
46888 is a composite number with 8 divisors. Its prime factorisation is × 5861. Divisors (8): 1, 2, 4, 8, 5861, 11722, 23444, 46888.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46888 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46888 is composite. Its prime factorisation is
- 3
The divisors add up to 87930; without 46888 itself that is 41042, so 46888 is deficient (41042 is less than 46888). Euler's totient φ(46888) = 23440 numbers up to 46888 share no factor with it.
- 4
The digits of 46888 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46888 = 2^{3} \times 5861 \]46888 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 87930 |
| Euler totient φ(n) | 23440 |
| Square | 2198484544 |
| Cube | 103082543299072 |
| Square root | 216.536371 (= 2√11722) |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.6888 × |
46888 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand eight hundred and eighty-eight |
| Binary (base 2) | 1011011100101000 |
| Octal (base 8) | 133450 |
| Hexadecimal (base 16) | B728 |
| Base 3 | 2101022121 |
| As time | 46888 seconds = 13 h 1 min 28 s |
Is 46888 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46888 ÷ 2 = 23444) | 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 (46888 ÷ 4 = 11722) | 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 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 (46888 ÷ 8 = 5861) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 6) | 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 46888 a prime number?
No. 46888 = × 5861, so it is divisible by 2.
What are the factors of 46888?
1, 2, 4, 8, 5861, 11722, 23444, 46888.
What is 46888 in binary?
1011011100101000 (hexadecimal B728, octal 133450).
What is the square root of 46888?
About 216.5364, exactly 2√11722.
Is 46888 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 46888?
It is a composite number with 8 divisors.