The number 46536
46536 is a composite number with 32 divisors. Its prime factorisation is × 3 × 7 × 277. Divisors (32): 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168 … 46536.
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How to work it out
- 1
What is special about 46536: a Harshad number: divisible by its digit sum 24.
- 2
46536 is composite. Its prime factorisation is
- 3
The divisors add up to 133440; without 46536 itself that is 86904, so 46536 is abundant (86904 is more than 46536). Euler's totient φ(46536) = 13248 numbers up to 46536 share no factor with it.
- 4
The digits of 46536 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46536 = 2^{3} \times 3 \times 7 \times 277 \]46536 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 133440 |
| Euler totient φ(n) | 13248 |
| Square | 2165599296 |
| Cube | 100778328838656 |
| Square root | 215.722043 (= 2√11634) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.6536 × |
46536 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand five hundred and thirty-six |
| Binary (base 2) | 1011010111001000 |
| Octal (base 8) | 132710 |
| Hexadecimal (base 16) | B5C8 |
| Base 3 | 2100211120 |
| As time | 46536 seconds = 12 h 55 min 36 s |
Is 46536 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46536 ÷ 2 = 23268) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46536 ÷ 3 = 15512) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46536 ÷ 4 = 11634) | 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 | Yes (46536 ÷ 6 = 7756) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (46536 ÷ 7 = 6648) | 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 | Yes (46536 ÷ 8 = 5817) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (46536 ÷ 12 = 3878) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46536 a prime number?
No. 46536 = × 3 × 7 × 277, so it is divisible by 2.
What are the factors of 46536?
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 277, 554, 831, 1108, 1662, 1939, 2216, 3324, 3878, 5817, 6648, 7756, 11634, 15512, 23268, 46536.
What is 46536 in binary?
1011010111001000 (hexadecimal B5C8, octal 132710).
What is the square root of 46536?
About 215.7220, exactly 2√11634.
Is 46536 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 46536?
46536 is a Harshad number: divisible by its digit sum 24.