The number 46680
46680 is a composite number with 32 divisors. Its prime factorisation is × 3 × 5 × 389. Divisors (32): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120 … 46680.
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How to work it out
- 1
What is special about 46680: a Harshad number: divisible by its digit sum 24.
- 2
46680 is composite. Its prime factorisation is
- 3
The divisors add up to 140400; without 46680 itself that is 93720, so 46680 is abundant (93720 is more than 46680). Euler's totient φ(46680) = 12416 numbers up to 46680 share no factor with it.
- 4
The digits of 46680 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46680 = 2^{3} \times 3 \times 5 \times 389 \]46680 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 140400 |
| Euler totient φ(n) | 12416 |
| Square | 2179022400 |
| Cube | 101716765632000 |
| Square root | 216.055548 (= 2√11670) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.668 × |
46680 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand six hundred and eighty |
| Binary (base 2) | 1011011001011000 |
| Octal (base 8) | 133130 |
| Hexadecimal (base 16) | B658 |
| Base 3 | 2101000220 |
| As time | 46680 seconds = 12 h 58 min 0 s |
Is 46680 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46680 ÷ 2 = 23340) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46680 ÷ 3 = 15560) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46680 ÷ 4 = 11670) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (46680 ÷ 5 = 9336) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (46680 ÷ 6 = 7780) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (46680 ÷ 8 = 5835) | 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 (46680 ÷ 10 = 4668) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (46680 ÷ 12 = 3890) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46680 a prime number?
No. 46680 = × 3 × 5 × 389, so it is divisible by 2.
What are the factors of 46680?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 389, 778, 1167, 1556, 1945, 2334, 3112, 3890, 4668, 5835, 7780, 9336, 11670, 15560, 23340, 46680.
What is 46680 in binary?
1011011001011000 (hexadecimal B658, octal 133130).
What is the square root of 46680?
About 216.0555, exactly 2√11670.
Is 46680 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 46680?
46680 is a Harshad number: divisible by its digit sum 24.