The number 46649
46649 is the 4821st prime number. Its only divisors are 1 and 46649.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46649: the 4821st prime number.
- 2
46649 is prime, so its only factors are 1 and 46649. It is the 4821st prime; the next prime is 46663 and the one before is 46643.
- 3
The divisors add up to 46650; without 46649 itself that is 1, so 46649 is deficient (1 is less than 46649). Euler's totient φ(46649) = 46648 numbers up to 46649 share no factor with it.
- 4
The digits of 46649 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
46649 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 46650 |
| Euler totient φ(n) | 46648 |
| Square | 2176129201 |
| Cube | 101514251097449 |
| Square root | 215.983796 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.6649 × |
46649 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand six hundred and forty-nine |
| Binary (base 2) | 1011011000111001 |
| Octal (base 8) | 133071 |
| Hexadecimal (base 16) | B639 |
| Base 3 | 2100222202 |
| As time | 46649 seconds = 12 h 57 min 29 s |
Is 46649 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 46649 a prime number?
Yes. 46649 is divisible only by 1 and itself.
What are the factors of 46649?
1, 46649.
What is 46649 in binary?
1011011000111001 (hexadecimal B639, octal 133071).
What is the square root of 46649?
About 215.9838.
Is 46649 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 46649?
46649 is the 4821st prime number.