The number 46521
46521 is a composite number with 8 divisors. Its prime factorisation is × 1723. Divisors (8): 1, 3, 9, 27, 1723, 5169, 15507, 46521.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46521: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
46521 is composite. Its prime factorisation is
- 3
The divisors add up to 68960; without 46521 itself that is 22439, so 46521 is deficient (22439 is less than 46521). Euler's totient φ(46521) = 30996 numbers up to 46521 share no factor with it.
- 4
The digits of 46521 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46521 = 3^{3} \times 1723 \]46521 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 68960 |
| Euler totient φ(n) | 30996 |
| Square | 2164203441 |
| Cube | 100680908278761 |
| Square root | 215.687274 (= 3√5169) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.6521 × |
46521 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand five hundred and twenty-one |
| Binary (base 2) | 1011010110111001 |
| Octal (base 8) | 132671 |
| Hexadecimal (base 16) | B5B9 |
| Base 3 | 2100211000 |
| As time | 46521 seconds = 12 h 55 min 21 s |
Is 46521 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 | Yes (46521 ÷ 3 = 15507) | 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 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (46521 ÷ 9 = 5169) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46521 a prime number?
No. 46521 = × 1723, so it is divisible by 3.
What are the factors of 46521?
1, 3, 9, 27, 1723, 5169, 15507, 46521.
What is 46521 in binary?
1011010110111001 (hexadecimal B5B9, octal 132671).
What is the square root of 46521?
About 215.6873, exactly 3√5169.
Is 46521 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 46521?
46521 is a happy number: repeatedly adding the squares of its digits reaches 1.