The number 46711
46711 is a composite number with 4 divisors. Its prime factorisation is 7 × 6673. Divisors (4): 1, 7, 6673, 46711.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46711: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 6673, the product of two primes.
- 2
46711 is composite. Its prime factorisation is
- 3
The divisors add up to 53392; without 46711 itself that is 6681, so 46711 is deficient (6681 is less than 46711). Euler's totient φ(46711) = 40032 numbers up to 46711 share no factor with it.
- 4
The digits of 46711 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 220 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46711 = 7 \times 6673 \]
46711 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 53392 |
| Euler totient φ(n) | 40032 |
| Square | 2181917521 |
| Cube | 101919549323431 |
| Square root | 216.127277 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 220 |
| Scientific notation | 4.6711 × |
46711 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand seven hundred and eleven |
| Binary (base 2) | 1011011001110111 |
| Octal (base 8) | 133167 |
| Hexadecimal (base 16) | B677 |
| Base 3 | 2101002001 |
| As time | 46711 seconds = 12 h 58 min 31 s |
Is 46711 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 | Yes (46711 ÷ 7 = 6673) | 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 7) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46711 a prime number?
No. 46711 = 7 × 6673, so it is divisible by 7.
What are the factors of 46711?
1, 7, 6673, 46711.
What is 46711 in binary?
1011011001110111 (hexadecimal B677, octal 133167).
What is the square root of 46711?
About 216.1273.
Is 46711 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 46711?
46711 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 6673, the product of two primes.