The number 49023
49023 is a composite number with 12 divisors. Its prime factorisation is × 13 × 419. Divisors (12): 1, 3, 9, 13, 39, 117, 419, 1257, 3771, 5447, 16341, 49023.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49023 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49023 is composite. Its prime factorisation is
- 3
The divisors add up to 76440; without 49023 itself that is 27417, so 49023 is deficient (27417 is less than 49023). Euler's totient φ(49023) = 30096 numbers up to 49023 share no factor with it.
- 4
The digits of 49023 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49023 = 3^{2} \times 13 \times 419 \]49023 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 76440 |
| Euler totient φ(n) | 30096 |
| Square | 2403254529 |
| Cube | 117814746775167 |
| Square root | 221.411382 (= 3√5447) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 127 |
| Scientific notation | 4.9023 × |
49023 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand and twenty-three |
| Binary (base 2) | 1011111101111111 |
| Octal (base 8) | 137577 |
| Hexadecimal (base 16) | BF7F |
| Base 3 | 2111020200 |
| As time | 49023 seconds = 13 h 37 min 3 s |
Is 49023 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 (49023 ÷ 3 = 16341) | 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 2) | 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 | Yes (49023 ÷ 9 = 5447) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49023 a prime number?
No. 49023 = × 13 × 419, so it is divisible by 3.
What are the factors of 49023?
1, 3, 9, 13, 39, 117, 419, 1257, 3771, 5447, 16341, 49023.
What is 49023 in binary?
1011111101111111 (hexadecimal BF7F, octal 137577).
What is the square root of 49023?
About 221.4114, exactly 3√5447.
Is 49023 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 49023?
It is a composite number with 12 divisors.