The number 47969
47969 is the 4944th prime number. Its only divisors are 1 and 47969.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47969: the 4944th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47969 is prime, so its only factors are 1 and 47969. It is the 4944th prime; the next prime is 47977 and the one before is 47963.
- 3
The divisors add up to 47970; without 47969 itself that is 1, so 47969 is deficient (1 is less than 47969). Euler's totient φ(47969) = 47968 numbers up to 47969 share no factor with it.
- 4
The digits of 47969 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 96 steps to reach 1.
47969 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 47970 |
| Euler totient φ(n) | 47968 |
| Square | 2301024961 |
| Cube | 110377866354209 |
| Square root | 219.018264 |
| Digit sum / digital root | 35 / 8 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.7969 × |
47969 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand nine hundred and sixty-nine |
| Binary (base 2) | 1011101101100001 |
| Octal (base 8) | 135541 |
| Hexadecimal (base 16) | BB61 |
| Base 3 | 2102210122 |
| As time | 47969 seconds = 13 h 19 min 29 s |
Is 47969 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 4) | 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 5) | 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 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 47969 a prime number?
Yes. 47969 is divisible only by 1 and itself.
What are the factors of 47969?
1, 47969.
What is 47969 in binary?
1011101101100001 (hexadecimal BB61, octal 135541).
What is the square root of 47969?
About 219.0183.
Is 47969 divisible by 3?
No. Its digits add up to 35, which is not a multiple of 3.
What is special about the number 47969?
47969 is the 4944th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.