The number 46116
46116 is a composite number with 48 divisors. Its prime factorisation is × × 7 × 61. Divisors (48): 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54 … 46116.
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How to work it out
- 1
What is special about 46116: a Harshad number: divisible by its digit sum 18.
- 2
46116 is composite. Its prime factorisation is
- 3
The divisors add up to 138880; without 46116 itself that is 92764, so 46116 is abundant (92764 is more than 46116). Euler's totient φ(46116) = 12960 numbers up to 46116 share no factor with it.
- 4
The digits of 46116 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 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46116 = 2^{2} \times 3^{3} \times 7 \times 61 \]46116 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 138880 |
| Euler totient φ(n) | 12960 |
| Square | 2126685456 |
| Cube | 98074226488896 |
| Square root | 214.746362 (= 6√1281) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.6116 × |
46116 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand one hundred and sixteen |
| Binary (base 2) | 1011010000100100 |
| Octal (base 8) | 132044 |
| Hexadecimal (base 16) | B424 |
| Base 3 | 2100021000 |
| As time | 46116 seconds = 12 h 48 min 36 s |
Is 46116 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46116 ÷ 2 = 23058) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46116 ÷ 3 = 15372) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46116 ÷ 4 = 11529) | 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 (46116 ÷ 6 = 7686) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (46116 ÷ 7 = 6588) | 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 | Yes (46116 ÷ 9 = 5124) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (46116 ÷ 12 = 3843) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46116 a prime number?
No. 46116 = × × 7 × 61, so it is divisible by 2.
What are the factors of 46116?
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 61, 63, 84, 108, 122, 126, 183, 189, 244, 252, 366, 378, 427, 549, 732, 756, 854, 1098, 1281, 1647, 1708, 2196, 2562, 3294, 3843, 5124, 6588, 7686, 11529, 15372, 23058, 46116.
What is 46116 in binary?
1011010000100100 (hexadecimal B424, octal 132044).
What is the square root of 46116?
About 214.7464, exactly 6√1281.
Is 46116 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 46116?
46116 is a Harshad number: divisible by its digit sum 18.