The number 49967
49967 is a composite number with 4 divisors. Its prime factorisation is 29 × 1723. Divisors (4): 1, 29, 1723, 49967.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49967: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 29 × 1723, the product of two primes.
- 2
49967 is composite. Its prime factorisation is
- 3
The divisors add up to 51720; without 49967 itself that is 1753, so 49967 is deficient (1753 is less than 49967). Euler's totient φ(49967) = 48216 numbers up to 49967 share no factor with it.
- 4
The digits of 49967 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 202 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49967 = 29 \times 1723 \]
49967 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 51720 |
| Euler totient φ(n) | 48216 |
| Square | 2496701089 |
| Cube | 124752663314063 |
| Square root | 223.532995 |
| Digit sum / digital root | 35 / 8 |
| Collatz steps to 1 | 202 |
| Scientific notation | 4.9967 × |
49967 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand nine hundred and sixty-seven |
| Binary (base 2) | 1100001100101111 |
| Octal (base 8) | 141457 |
| Hexadecimal (base 16) | C32F |
| Base 3 | 2112112122 |
| As time | 49967 seconds = 13 h 52 min 47 s |
Is 49967 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 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 7) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49967 a prime number?
No. 49967 = 29 × 1723, so it is divisible by 29.
What are the factors of 49967?
1, 29, 1723, 49967.
What is 49967 in binary?
1100001100101111 (hexadecimal C32F, octal 141457).
What is the square root of 49967?
About 223.5330.
Is 49967 divisible by 3?
No. Its digits add up to 35, which is not a multiple of 3.
What is special about the number 49967?
49967 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 29 × 1723, the product of two primes.