The number 46823
46823 is a composite number with 4 divisors. Its prime factorisation is 7 × 6689. Divisors (4): 1, 7, 6689, 46823.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46823: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 6689, the product of two primes.
- 2
46823 is composite. Its prime factorisation is
- 3
The divisors add up to 53520; without 46823 itself that is 6697, so 46823 is deficient (6697 is less than 46823). Euler's totient φ(46823) = 40128 numbers up to 46823 share no factor with it.
- 4
The digits of 46823 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
\[ 46823 = 7 \times 6689 \]
46823 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 53520 |
| Euler totient φ(n) | 40128 |
| Square | 2192393329 |
| Cube | 102654432843767 |
| Square root | 216.386229 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 207 |
| Scientific notation | 4.6823 × |
46823 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand eight hundred and twenty-three |
| Binary (base 2) | 1011011011100111 |
| Octal (base 8) | 133347 |
| Hexadecimal (base 16) | B6E7 |
| Base 3 | 2101020012 |
| As time | 46823 seconds = 13 h 0 min 23 s |
Is 46823 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 | Yes (46823 ÷ 7 = 6689) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46823 a prime number?
No. 46823 = 7 × 6689, so it is divisible by 7.
What are the factors of 46823?
1, 7, 6689, 46823.
What is 46823 in binary?
1011011011100111 (hexadecimal B6E7, octal 133347).
What is the square root of 46823?
About 216.3862.
Is 46823 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 46823?
46823 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 6689, the product of two primes.