The number 46997
46997 is the 4851st prime number. Its only divisors are 1 and 46997.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46997: the 4851st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
46997 is prime, so its only factors are 1 and 46997. It is the 4851st prime; the next prime is 47017 and the one before is 46993.
- 3
The divisors add up to 46998; without 46997 itself that is 1, so 46997 is deficient (1 is less than 46997). Euler's totient φ(46997) = 46996 numbers up to 46997 share no factor with it.
- 4
The digits of 46997 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 57 steps to reach 1.
46997 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 46998 |
| Euler totient φ(n) | 46996 |
| Square | 2208718009 |
| Cube | 103803120268973 |
| Square root | 216.787915 |
| Digit sum / digital root | 35 / 8 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.6997 × |
46997 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand nine hundred and ninety-seven |
| Binary (base 2) | 1011011110010101 |
| Octal (base 8) | 133625 |
| Hexadecimal (base 16) | B795 |
| Base 3 | 2101110122 |
| As time | 46997 seconds = 13 h 3 min 17 s |
Is 46997 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 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 6) | 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 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46997 a prime number?
Yes. 46997 is divisible only by 1 and itself.
What are the factors of 46997?
1, 46997.
What is 46997 in binary?
1011011110010101 (hexadecimal B795, octal 133625).
What is the square root of 46997?
About 216.7879.
Is 46997 divisible by 3?
No. Its digits add up to 35, which is not a multiple of 3.
What is special about the number 46997?
46997 is the 4851st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.