The number 46021
46021 is the 4762nd prime number. Its only divisors are 1 and 46021.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46021: the 4762nd prime number.
- 2
46021 is prime, so its only factors are 1 and 46021. It is the 4762nd prime; the next prime is 46027 and the one before is 45989.
- 3
The divisors add up to 46022; without 46021 itself that is 1, so 46021 is deficient (1 is less than 46021). Euler's totient φ(46021) = 46020 numbers up to 46021 share no factor with it.
- 4
The digits of 46021 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
46021 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 46022 |
| Euler totient φ(n) | 46020 |
| Square | 2117932441 |
| Cube | 97469368867261 |
| Square root | 214.525057 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.6021 × |
46021 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand and twenty-one |
| Binary (base 2) | 1011001111000101 |
| Octal (base 8) | 131705 |
| Hexadecimal (base 16) | B3C5 |
| Base 3 | 2100010111 |
| As time | 46021 seconds = 12 h 47 min 1 s |
Is 46021 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 | No (remainder 3) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46021 a prime number?
Yes. 46021 is divisible only by 1 and itself.
What are the factors of 46021?
1, 46021.
What is 46021 in binary?
1011001111000101 (hexadecimal B3C5, octal 131705).
What is the square root of 46021?
About 214.5251.
Is 46021 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 46021?
46021 is the 4762nd prime number.