The number 46023
46023 is a composite number with 12 divisors. Its prime factorisation is 3 × × 29. Divisors (12): 1, 3, 23, 29, 69, 87, 529, 667, 1587, 2001, 15341, 46023.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46023 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46023 is composite. Its prime factorisation is
- 3
The divisors add up to 66360; without 46023 itself that is 20337, so 46023 is deficient (20337 is less than 46023). Euler's totient φ(46023) = 28336 numbers up to 46023 share no factor with it.
- 4
The digits of 46023 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 176 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46023 = 3 \times 23^{2} \times 29 \]46023 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 66360 |
| Euler totient φ(n) | 28336 |
| Square | 2118116529 |
| Cube | 97482077014167 |
| Square root | 214.529718 (= 23√87) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 176 |
| Scientific notation | 4.6023 × |
46023 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand and twenty-three |
| Binary (base 2) | 1011001111000111 |
| Octal (base 8) | 131707 |
| Hexadecimal (base 16) | B3C7 |
| Base 3 | 2100010120 |
| As time | 46023 seconds = 12 h 47 min 3 s |
Is 46023 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 | Yes (46023 ÷ 3 = 15341) | 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 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46023 a prime number?
No. 46023 = 3 × × 29, so it is divisible by 3.
What are the factors of 46023?
1, 3, 23, 29, 69, 87, 529, 667, 1587, 2001, 15341, 46023.
What is 46023 in binary?
1011001111000111 (hexadecimal B3C7, octal 131707).
What is the square root of 46023?
About 214.5297, exactly 23√87.
Is 46023 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 46023?
It is a composite number with 12 divisors.