The number 46009
46009 is a composite number with 4 divisors. Its prime factorisation is 139 × 331. Divisors (4): 1, 139, 331, 46009.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46009: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 139 × 331, the product of two primes.
- 2
46009 is composite. Its prime factorisation is
- 3
The divisors add up to 46480; without 46009 itself that is 471, so 46009 is deficient (471 is less than 46009). Euler's totient φ(46009) = 45540 numbers up to 46009 share no factor with it.
- 4
The digits of 46009 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 189 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46009 = 139 \times 331 \]
46009 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 46480 |
| Euler totient φ(n) | 45540 |
| Square | 2116828081 |
| Cube | 97393143178729 |
| Square root | 214.497086 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.6009 × |
46009 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand and nine |
| Binary (base 2) | 1011001110111001 |
| Octal (base 8) | 131671 |
| Hexadecimal (base 16) | B3B9 |
| Base 3 | 2100010001 |
| As time | 46009 seconds = 12 h 46 min 49 s |
Is 46009 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 1) | 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 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46009 a prime number?
No. 46009 = 139 × 331, so it is divisible by 139.
What are the factors of 46009?
1, 139, 331, 46009.
What is 46009 in binary?
1011001110111001 (hexadecimal B3B9, octal 131671).
What is the square root of 46009?
About 214.4971.
Is 46009 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 46009?
46009 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 139 × 331, the product of two primes.