The number 46636
46636 is a composite number with 12 divisors. Its prime factorisation is × 89 × 131. Divisors (12): 1, 2, 4, 89, 131, 178, 262, 356, 524, 11659, 23318, 46636.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46636: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
46636 is composite. Its prime factorisation is
- 3
The divisors add up to 83160; without 46636 itself that is 36524, so 46636 is deficient (36524 is less than 46636). Euler's totient φ(46636) = 22880 numbers up to 46636 share no factor with it.
- 4
The digits of 46636 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46636 = 2^{2} \times 89 \times 131 \]46636 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 83160 |
| Euler totient φ(n) | 22880 |
| Square | 2174916496 |
| Cube | 101429405707456 |
| Square root | 215.953699 (= 2√11659) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.6636 × |
46636 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand six hundred and thirty-six |
| Binary (base 2) | 1011011000101100 |
| Octal (base 8) | 133054 |
| Hexadecimal (base 16) | B62C |
| Base 3 | 2100222021 |
| As time | 46636 seconds = 12 h 57 min 16 s |
Is 46636 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46636 ÷ 2 = 23318) | 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 | Yes (46636 ÷ 4 = 11659) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46636 a prime number?
No. 46636 = × 89 × 131, so it is divisible by 2.
What are the factors of 46636?
1, 2, 4, 89, 131, 178, 262, 356, 524, 11659, 23318, 46636.
What is 46636 in binary?
1011011000101100 (hexadecimal B62C, octal 133054).
What is the square root of 46636?
About 215.9537, exactly 2√11659.
Is 46636 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 46636?
46636 is a happy number: repeatedly adding the squares of its digits reaches 1.