The number 49634
49634 is a composite number with 16 divisors. Its prime factorisation is 2 × 13 × 23 × 83. Divisors (16): 1, 2, 13, 23, 26, 46, 83, 166, 299, 598, 1079, 1909, 2158, 3818, 24817, 49634.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49634: a Harshad number: divisible by its digit sum 26.
- 2
49634 is composite. Its prime factorisation is
- 3
The divisors add up to 84672; without 49634 itself that is 35038, so 49634 is deficient (35038 is less than 49634). Euler's totient φ(49634) = 21648 numbers up to 49634 share no factor with it.
- 4
The digits of 49634 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49634 = 2 \times 13 \times 23 \times 83 \]
49634 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 84672 |
| Euler totient φ(n) | 21648 |
| Square | 2463533956 |
| Cube | 122275044372104 |
| Square root | 222.786894 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.9634 × |
49634 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand six hundred and thirty-four |
| Binary (base 2) | 1100000111100010 |
| Octal (base 8) | 140742 |
| Hexadecimal (base 16) | C1E2 |
| Base 3 | 2112002022 |
| As time | 49634 seconds = 13 h 47 min 14 s |
Is 49634 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49634 ÷ 2 = 24817) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49634 a prime number?
No. 49634 = 2 × 13 × 23 × 83, so it is divisible by 2.
What are the factors of 49634?
1, 2, 13, 23, 26, 46, 83, 166, 299, 598, 1079, 1909, 2158, 3818, 24817, 49634.
What is 49634 in binary?
1100000111100010 (hexadecimal C1E2, octal 140742).
What is the square root of 49634?
About 222.7869.
Is 49634 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 49634?
49634 is a Harshad number: divisible by its digit sum 26.