The number 49401
49401 is a composite number with 12 divisors. Its prime factorisation is × 11 × 499. Divisors (12): 1, 3, 9, 11, 33, 99, 499, 1497, 4491, 5489, 16467, 49401.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49401 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49401 is composite. Its prime factorisation is
- 3
The divisors add up to 78000; without 49401 itself that is 28599, so 49401 is deficient (28599 is less than 49401). Euler's totient φ(49401) = 29880 numbers up to 49401 share no factor with it.
- 4
The digits of 49401 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 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49401 = 3^{2} \times 11 \times 499 \]49401 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 78000 |
| Euler totient φ(n) | 29880 |
| Square | 2440458801 |
| Cube | 120561105228201 |
| Square root | 222.263357 (= 3√5489) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.9401 × |
49401 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand four hundred and one |
| Binary (base 2) | 1100000011111001 |
| Octal (base 8) | 140371 |
| Hexadecimal (base 16) | C0F9 |
| Base 3 | 2111202200 |
| As time | 49401 seconds = 13 h 43 min 21 s |
Is 49401 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 (49401 ÷ 3 = 16467) | 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 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (49401 ÷ 9 = 5489) | 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 | Yes (49401 ÷ 11 = 4491) | 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 49401 a prime number?
No. 49401 = × 11 × 499, so it is divisible by 3.
What are the factors of 49401?
1, 3, 9, 11, 33, 99, 499, 1497, 4491, 5489, 16467, 49401.
What is 49401 in binary?
1100000011111001 (hexadecimal C0F9, octal 140371).
What is the square root of 49401?
About 222.2634, exactly 3√5489.
Is 49401 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 49401?
It is a composite number with 12 divisors.