The number 49987
49987 is a composite number with 8 divisors. Its prime factorisation is 7 × 37 × 193. Divisors (8): 1, 7, 37, 193, 259, 1351, 7141, 49987.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49987: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 37.
- 2
49987 is composite. Its prime factorisation is
- 3
The divisors add up to 58976; without 49987 itself that is 8989, so 49987 is deficient (8989 is less than 49987). Euler's totient φ(49987) = 41472 numbers up to 49987 share no factor with it.
- 4
The digits of 49987 add up to 37, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49987 = 7 \times 37 \times 193 \]
49987 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 58976 |
| Euler totient φ(n) | 41472 |
| Square | 2498700169 |
| Cube | 124902525347803 |
| Square root | 223.577727 |
| Digit sum / digital root | 37 / 1 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.9987 × |
49987 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand nine hundred and eighty-seven |
| Binary (base 2) | 1100001101000011 |
| Octal (base 8) | 141503 |
| Hexadecimal (base 16) | C343 |
| Base 3 | 2112120101 |
| As time | 49987 seconds = 13 h 53 min 7 s |
Is 49987 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 1) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (49987 ÷ 7 = 7141) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49987 a prime number?
No. 49987 = 7 × 37 × 193, so it is divisible by 7.
What are the factors of 49987?
1, 7, 37, 193, 259, 1351, 7141, 49987.
What is 49987 in binary?
1100001101000011 (hexadecimal C343, octal 141503).
What is the square root of 49987?
About 223.5777.
Is 49987 divisible by 3?
No. Its digits add up to 37, which is not a multiple of 3.
What is special about the number 49987?
49987 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 37.