The number 46494
46494 is a composite number with 40 divisors. Its prime factorisation is 2 × × 7 × 41. Divisors (40): 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 41, 42, 54, 63, 81, 82 … 46494.
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How to work it out
- 1
What is special about 46494: a Harshad number: divisible by its digit sum 27.
- 2
46494 is composite. Its prime factorisation is
- 3
The divisors add up to 121968; without 46494 itself that is 75474, so 46494 is abundant (75474 is more than 46494). Euler's totient φ(46494) = 12960 numbers up to 46494 share no factor with it.
- 4
The digits of 46494 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 163 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46494 = 2 \times 3^{4} \times 7 \times 41 \]46494 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 121968 |
| Euler totient φ(n) | 12960 |
| Square | 2161692036 |
| Cube | 100505709521784 |
| Square root | 215.624674 (= 9√574) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 163 |
| Scientific notation | 4.6494 × |
46494 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand four hundred and ninety-four |
| Binary (base 2) | 1011010110011110 |
| Octal (base 8) | 132636 |
| Hexadecimal (base 16) | B59E |
| Base 3 | 2100210000 |
| As time | 46494 seconds = 12 h 54 min 54 s |
Is 46494 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46494 ÷ 2 = 23247) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46494 ÷ 3 = 15498) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (46494 ÷ 6 = 7749) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (46494 ÷ 7 = 6642) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (46494 ÷ 9 = 5166) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46494 a prime number?
No. 46494 = 2 × × 7 × 41, so it is divisible by 2.
What are the factors of 46494?
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 41, 42, 54, 63, 81, 82, 123, 126, 162, 189, 246, 287, 369, 378, 567, 574, 738, 861, 1107, 1134, 1722, 2214, 2583, 3321, 5166, 6642, 7749, 15498, 23247, 46494.
What is 46494 in binary?
1011010110011110 (hexadecimal B59E, octal 132636).
What is the square root of 46494?
About 215.6247, exactly 9√574.
Is 46494 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 46494?
46494 is a Harshad number: divisible by its digit sum 27.