The number 49973
49973 is a composite number with 12 divisors. Its prime factorisation is 7 × × 59. Divisors (12): 1, 7, 11, 59, 77, 121, 413, 649, 847, 4543, 7139, 49973.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49973: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
49973 is composite. Its prime factorisation is
- 3
The divisors add up to 63840; without 49973 itself that is 13867, so 49973 is deficient (13867 is less than 49973). Euler's totient φ(49973) = 38280 numbers up to 49973 share no factor with it.
- 4
The digits of 49973 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49973 = 7 \times 11^{2} \times 59 \]49973 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 63840 |
| Euler totient φ(n) | 38280 |
| Square | 2497300729 |
| Cube | 124797609330317 |
| Square root | 223.546416 (= 11√413) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.9973 × |
49973 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand nine hundred and seventy-three |
| Binary (base 2) | 1100001100110101 |
| Octal (base 8) | 141465 |
| Hexadecimal (base 16) | C335 |
| Base 3 | 2112112212 |
| As time | 49973 seconds = 13 h 52 min 53 s |
Is 49973 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 | No (remainder 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (49973 ÷ 7 = 7139) | 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 5) | 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 | Yes (49973 ÷ 11 = 4543) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49973 a prime number?
No. 49973 = 7 × × 59, so it is divisible by 7.
What are the factors of 49973?
1, 7, 11, 59, 77, 121, 413, 649, 847, 4543, 7139, 49973.
What is 49973 in binary?
1100001100110101 (hexadecimal C335, octal 141465).
What is the square root of 49973?
About 223.5464, exactly 11√413.
Is 49973 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 49973?
49973 is a happy number: repeatedly adding the squares of its digits reaches 1.