The number 46480
46480 is a composite number with 40 divisors. Its prime factorisation is × 5 × 7 × 83. Divisors (40): 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80 … 46480.
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How to work it out
- 1
46480 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46480 is composite. Its prime factorisation is
- 3
The divisors add up to 124992; without 46480 itself that is 78512, so 46480 is abundant (78512 is more than 46480). Euler's totient φ(46480) = 15744 numbers up to 46480 share no factor with it.
- 4
The digits of 46480 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46480 = 2^{4} \times 5 \times 7 \times 83 \]46480 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 124992 |
| Euler totient φ(n) | 15744 |
| Square | 2160390400 |
| Cube | 100414945792000 |
| Square root | 215.592208 (= 4√2905) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.648 × |
46480 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand four hundred and eighty |
| Binary (base 2) | 1011010110010000 |
| Octal (base 8) | 132620 |
| Hexadecimal (base 16) | B590 |
| Base 3 | 2100202111 |
| As time | 46480 seconds = 12 h 54 min 40 s |
Is 46480 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46480 ÷ 2 = 23240) | 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 (46480 ÷ 4 = 11620) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (46480 ÷ 5 = 9296) | 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 | Yes (46480 ÷ 7 = 6640) | 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 (46480 ÷ 8 = 5810) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (46480 ÷ 10 = 4648) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 46480 a prime number?
No. 46480 = × 5 × 7 × 83, so it is divisible by 2.
What are the factors of 46480?
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 83, 112, 140, 166, 280, 332, 415, 560, 581, 664, 830, 1162, 1328, 1660, 2324, 2905, 3320, 4648, 5810, 6640, 9296, 11620, 23240, 46480.
What is 46480 in binary?
1011010110010000 (hexadecimal B590, octal 132620).
What is the square root of 46480?
About 215.5922, exactly 4√2905.
Is 46480 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 46480?
It is a composite number with 40 divisors.