The number 46704
46704 is a composite number with 40 divisors. Its prime factorisation is × 3 × 7 × 139. Divisors (40): 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56 … 46704.
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How to work it out
- 1
What is special about 46704: a Harshad number: divisible by its digit sum 21.
- 2
46704 is composite. Its prime factorisation is
- 3
The divisors add up to 138880; without 46704 itself that is 92176, so 46704 is abundant (92176 is more than 46704). Euler's totient φ(46704) = 13248 numbers up to 46704 share no factor with it.
- 4
The digits of 46704 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 220 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46704 = 2^{4} \times 3 \times 7 \times 139 \]46704 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 138880 |
| Euler totient φ(n) | 13248 |
| Square | 2181263616 |
| Cube | 101873735921664 |
| Square root | 216.111083 (= 4√2919) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 220 |
| Scientific notation | 4.6704 × |
46704 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand seven hundred and four |
| Binary (base 2) | 1011011001110000 |
| Octal (base 8) | 133160 |
| Hexadecimal (base 16) | B670 |
| Base 3 | 2101001210 |
| As time | 46704 seconds = 12 h 58 min 24 s |
Is 46704 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46704 ÷ 2 = 23352) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46704 ÷ 3 = 15568) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46704 ÷ 4 = 11676) | 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 (46704 ÷ 6 = 7784) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (46704 ÷ 7 = 6672) | 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 (46704 ÷ 8 = 5838) | 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 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (46704 ÷ 12 = 3892) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46704 a prime number?
No. 46704 = × 3 × 7 × 139, so it is divisible by 2.
What are the factors of 46704?
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 139, 168, 278, 336, 417, 556, 834, 973, 1112, 1668, 1946, 2224, 2919, 3336, 3892, 5838, 6672, 7784, 11676, 15568, 23352, 46704.
What is 46704 in binary?
1011011001110000 (hexadecimal B670, octal 133160).
What is the square root of 46704?
About 216.1111, exactly 4√2919.
Is 46704 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 46704?
46704 is a Harshad number: divisible by its digit sum 21.