The number 49413
49413 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 13 × 181. Divisors (16): 1, 3, 7, 13, 21, 39, 91, 181, 273, 543, 1267, 2353, 3801, 7059, 16471, 49413.
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How to work it out
- 1
What is special about 49413: a Harshad number: divisible by its digit sum 21.
- 2
49413 is composite. Its prime factorisation is
- 3
The divisors add up to 81536; without 49413 itself that is 32123, so 49413 is deficient (32123 is less than 49413). Euler's totient φ(49413) = 25920 numbers up to 49413 share no factor with it.
- 4
The digits of 49413 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49413 = 3 \times 7 \times 13 \times 181 \]
49413 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 81536 |
| Euler totient φ(n) | 25920 |
| Square | 2441644569 |
| Cube | 120648983087997 |
| Square root | 222.290351 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.9413 × |
49413 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand four hundred and thirteen |
| Binary (base 2) | 1100000100000101 |
| Octal (base 8) | 140405 |
| Hexadecimal (base 16) | C105 |
| Base 3 | 2111210010 |
| As time | 49413 seconds = 13 h 43 min 33 s |
Is 49413 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 (49413 ÷ 3 = 16471) | 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 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 | Yes (49413 ÷ 7 = 7059) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49413 a prime number?
No. 49413 = 3 × 7 × 13 × 181, so it is divisible by 3.
What are the factors of 49413?
1, 3, 7, 13, 21, 39, 91, 181, 273, 543, 1267, 2353, 3801, 7059, 16471, 49413.
What is 49413 in binary?
1100000100000101 (hexadecimal C105, octal 140405).
What is the square root of 49413?
About 222.2904.
Is 49413 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 49413?
49413 is a Harshad number: divisible by its digit sum 21.