The number 46359
46359 is a composite number with 16 divisors. Its prime factorisation is × 17 × 101. Divisors (16): 1, 3, 9, 17, 27, 51, 101, 153, 303, 459, 909, 1717, 2727, 5151, 15453, 46359.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46359: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.
- 2
46359 is composite. Its prime factorisation is
- 3
The divisors add up to 73440; without 46359 itself that is 27081, so 46359 is deficient (27081 is less than 46359). Euler's totient φ(46359) = 28800 numbers up to 46359 share no factor with it.
- 4
The digits of 46359 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46359 = 3^{3} \times 17 \times 101 \]46359 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 73440 |
| Euler totient φ(n) | 28800 |
| Square | 2149156881 |
| Cube | 99632763846279 |
| Square root | 215.311402 (= 3√5151) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.6359 × |
46359 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand three hundred and fifty-nine |
| Binary (base 2) | 1011010100010111 |
| Octal (base 8) | 132427 |
| Hexadecimal (base 16) | B517 |
| Base 3 | 2100121000 |
| As time | 46359 seconds = 12 h 52 min 39 s |
Is 46359 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 (46359 ÷ 3 = 15453) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (46359 ÷ 9 = 5151) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46359 a prime number?
No. 46359 = × 17 × 101, so it is divisible by 3.
What are the factors of 46359?
1, 3, 9, 17, 27, 51, 101, 153, 303, 459, 909, 1717, 2727, 5151, 15453, 46359.
What is 46359 in binary?
1011010100010111 (hexadecimal B517, octal 132427).
What is the square root of 46359?
About 215.3114, exactly 3√5151.
Is 46359 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 46359?
46359 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.