The number 46380
46380 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 773. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 773, 1546, 2319, 3092 … 46380.
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How to work it out
- 1
46380 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46380 is composite. Its prime factorisation is
- 3
The divisors add up to 130032; without 46380 itself that is 83652, so 46380 is abundant (83652 is more than 46380). Euler's totient φ(46380) = 12352 numbers up to 46380 share no factor with it.
- 4
The digits of 46380 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46380 = 2^{2} \times 3 \times 5 \times 773 \]46380 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 130032 |
| Euler totient φ(n) | 12352 |
| Square | 2151104400 |
| Cube | 99768222072000 |
| Square root | 215.360163 (= 2√11595) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.638 × |
46380 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand three hundred and eighty |
| Binary (base 2) | 1011010100101100 |
| Octal (base 8) | 132454 |
| Hexadecimal (base 16) | B52C |
| Base 3 | 2100121210 |
| As time | 46380 seconds = 12 h 53 min 0 s |
Is 46380 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46380 ÷ 2 = 23190) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46380 ÷ 3 = 15460) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46380 ÷ 4 = 11595) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (46380 ÷ 5 = 9276) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (46380 ÷ 6 = 7730) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | No (remainder 4) | 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 | Yes (46380 ÷ 10 = 4638) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (46380 ÷ 12 = 3865) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46380 a prime number?
No. 46380 = × 3 × 5 × 773, so it is divisible by 2.
What are the factors of 46380?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 773, 1546, 2319, 3092, 3865, 4638, 7730, 9276, 11595, 15460, 23190, 46380.
What is 46380 in binary?
1011010100101100 (hexadecimal B52C, octal 132454).
What is the square root of 46380?
About 215.3602, exactly 2√11595.
Is 46380 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 46380?
It is a composite number with 24 divisors.