The number 46488
46488 is a composite number with 32 divisors. Its prime factorisation is × 3 × 13 × 149. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 149, 156 … 46488.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46488 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46488 is composite. Its prime factorisation is
- 3
The divisors add up to 126000; without 46488 itself that is 79512, so 46488 is abundant (79512 is more than 46488). Euler's totient φ(46488) = 14208 numbers up to 46488 share no factor with it.
- 4
The digits of 46488 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46488 = 2^{3} \times 3 \times 13 \times 149 \]46488 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 126000 |
| Euler totient φ(n) | 14208 |
| Square | 2161134144 |
| Cube | 100466804086272 |
| Square root | 215.610760 (= 2√11622) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.6488 × |
46488 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand four hundred and eighty-eight |
| Binary (base 2) | 1011010110011000 |
| Octal (base 8) | 132630 |
| Hexadecimal (base 16) | B598 |
| Base 3 | 2100202210 |
| As time | 46488 seconds = 12 h 54 min 48 s |
Is 46488 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46488 ÷ 2 = 23244) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46488 ÷ 3 = 15496) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46488 ÷ 4 = 11622) | 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 | Yes (46488 ÷ 6 = 7748) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (46488 ÷ 8 = 5811) | 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 8) | 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 (46488 ÷ 12 = 3874) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46488 a prime number?
No. 46488 = × 3 × 13 × 149, so it is divisible by 2.
What are the factors of 46488?
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 149, 156, 298, 312, 447, 596, 894, 1192, 1788, 1937, 3576, 3874, 5811, 7748, 11622, 15496, 23244, 46488.
What is 46488 in binary?
1011010110011000 (hexadecimal B598, octal 132630).
What is the square root of 46488?
About 215.6108, exactly 2√11622.
Is 46488 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 46488?
It is a composite number with 32 divisors.