The number 46880
46880 is a composite number with 24 divisors. Its prime factorisation is × 5 × 293. Divisors (24): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 293, 586, 1172, 1465 … 46880.
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How to work it out
- 1
46880 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46880 is composite. Its prime factorisation is
- 3
The divisors add up to 111132; without 46880 itself that is 64252, so 46880 is abundant (64252 is more than 46880). Euler's totient φ(46880) = 18688 numbers up to 46880 share no factor with it.
- 4
The digits of 46880 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 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46880 = 2^{5} \times 5 \times 293 \]46880 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 111132 |
| Euler totient φ(n) | 18688 |
| Square | 2197734400 |
| Cube | 103029788672000 |
| Square root | 216.517898 (= 4√2930) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.688 × |
46880 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand eight hundred and eighty |
| Binary (base 2) | 1011011100100000 |
| Octal (base 8) | 133440 |
| Hexadecimal (base 16) | B720 |
| Base 3 | 2101022022 |
| As time | 46880 seconds = 13 h 1 min 20 s |
Is 46880 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46880 ÷ 2 = 23440) | 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 (46880 ÷ 4 = 11720) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (46880 ÷ 5 = 9376) | 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 | 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 (46880 ÷ 8 = 5860) | 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 | Yes (46880 ÷ 10 = 4688) | 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 46880 a prime number?
No. 46880 = × 5 × 293, so it is divisible by 2.
What are the factors of 46880?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 293, 586, 1172, 1465, 2344, 2930, 4688, 5860, 9376, 11720, 23440, 46880.
What is 46880 in binary?
1011011100100000 (hexadecimal B720, octal 133440).
What is the square root of 46880?
About 216.5179, exactly 4√2930.
Is 46880 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 46880?
It is a composite number with 24 divisors.