The number 46409
46409 is a composite number with 4 divisors. Its prime factorisation is 11 × 4219. Divisors (4): 1, 11, 4219, 46409.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46409: a semiprime: 11 × 4219, the product of two primes.
- 2
46409 is composite. Its prime factorisation is
- 3
The divisors add up to 50640; without 46409 itself that is 4231, so 46409 is deficient (4231 is less than 46409). Euler's totient φ(46409) = 42180 numbers up to 46409 share no factor with it.
- 4
The digits of 46409 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 207 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46409 = 11 \times 4219 \]
46409 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 50640 |
| Euler totient φ(n) | 42180 |
| Square | 2153795281 |
| Cube | 99955485195929 |
| Square root | 215.427482 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 207 |
| Scientific notation | 4.6409 × |
46409 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand four hundred and nine |
| Binary (base 2) | 1011010101001001 |
| Octal (base 8) | 132511 |
| Hexadecimal (base 16) | B549 |
| Base 3 | 2100122212 |
| As time | 46409 seconds = 12 h 53 min 29 s |
Is 46409 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (46409 ÷ 11 = 4219) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46409 a prime number?
No. 46409 = 11 × 4219, so it is divisible by 11.
What are the factors of 46409?
1, 11, 4219, 46409.
What is 46409 in binary?
1011010101001001 (hexadecimal B549, octal 132511).
What is the square root of 46409?
About 215.4275.
Is 46409 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 46409?
46409 is a semiprime: 11 × 4219, the product of two primes.