The number 46320
46320 is a composite number with 40 divisors. Its prime factorisation is × 3 × 5 × 193. Divisors (40): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48 … 46320.
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How to work it out
- 1
What is special about 46320: a Harshad number: divisible by its digit sum 15.
- 2
46320 is composite. Its prime factorisation is
- 3
The divisors add up to 144336; without 46320 itself that is 98016, so 46320 is abundant (98016 is more than 46320). Euler's totient φ(46320) = 12288 numbers up to 46320 share no factor with it.
- 4
The digits of 46320 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46320 = 2^{4} \times 3 \times 5 \times 193 \]46320 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 144336 |
| Euler totient φ(n) | 12288 |
| Square | 2145542400 |
| Cube | 99381523968000 |
| Square root | 215.220817 (= 4√2895) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.632 × |
46320 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand three hundred and twenty |
| Binary (base 2) | 1011010011110000 |
| Octal (base 8) | 132360 |
| Hexadecimal (base 16) | B4F0 |
| Base 3 | 2100112120 |
| As time | 46320 seconds = 12 h 52 min 0 s |
Is 46320 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46320 ÷ 2 = 23160) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46320 ÷ 3 = 15440) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46320 ÷ 4 = 11580) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (46320 ÷ 5 = 9264) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (46320 ÷ 6 = 7720) | 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 (46320 ÷ 8 = 5790) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (46320 ÷ 10 = 4632) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (46320 ÷ 12 = 3860) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46320 a prime number?
No. 46320 = × 3 × 5 × 193, so it is divisible by 2.
What are the factors of 46320?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 193, 240, 386, 579, 772, 965, 1158, 1544, 1930, 2316, 2895, 3088, 3860, 4632, 5790, 7720, 9264, 11580, 15440, 23160, 46320.
What is 46320 in binary?
1011010011110000 (hexadecimal B4F0, octal 132360).
What is the square root of 46320?
About 215.2208, exactly 4√2895.
Is 46320 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 46320?
46320 is a Harshad number: divisible by its digit sum 15.