The number 46404
46404 is a composite number with 18 divisors. Its prime factorisation is × × 1289. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 1289, 2578, 3867, 5156, 7734, 11601, 15468 … 46404.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46404: a Harshad number: divisible by its digit sum 18.
- 2
46404 is composite. Its prime factorisation is
- 3
The divisors add up to 117390; without 46404 itself that is 70986, so 46404 is abundant (70986 is more than 46404). Euler's totient φ(46404) = 15456 numbers up to 46404 share no factor with it.
- 4
The digits of 46404 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46404 = 2^{2} \times 3^{2} \times 1289 \]46404 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 117390 |
| Euler totient φ(n) | 15456 |
| Square | 2153331216 |
| Cube | 99923181747264 |
| Square root | 215.415877 (= 6√1289) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.6404 × |
46404 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand four hundred and four |
| Binary (base 2) | 1011010101000100 |
| Octal (base 8) | 132504 |
| Hexadecimal (base 16) | B544 |
| Base 3 | 2100122200 |
| As time | 46404 seconds = 12 h 53 min 24 s |
Is 46404 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46404 ÷ 2 = 23202) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46404 ÷ 3 = 15468) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46404 ÷ 4 = 11601) | 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 (46404 ÷ 6 = 7734) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (46404 ÷ 9 = 5156) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (46404 ÷ 12 = 3867) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46404 a prime number?
No. 46404 = × × 1289, so it is divisible by 2.
What are the factors of 46404?
1, 2, 3, 4, 6, 9, 12, 18, 36, 1289, 2578, 3867, 5156, 7734, 11601, 15468, 23202, 46404.
What is 46404 in binary?
1011010101000100 (hexadecimal B544, octal 132504).
What is the square root of 46404?
About 215.4159, exactly 6√1289.
Is 46404 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 46404?
46404 is a Harshad number: divisible by its digit sum 18.