The number 46368
46368 is a Fibonacci number. Its prime factorisation is × × 7 × 23. Divisors (72): 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 23, 24, 28 … 46368.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46368: a Fibonacci number.
- 2
46368 is composite. Its prime factorisation is
- 3
The divisors add up to 157248; without 46368 itself that is 110880, so 46368 is abundant (110880 is more than 46368). Euler's totient φ(46368) = 12672 numbers up to 46368 share no factor with it.
- 4
The digits of 46368 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 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46368 = 2^{5} \times 3^{2} \times 7 \times 23 \]46368 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 72 |
| Sum of divisors | 157248 |
| Euler totient φ(n) | 12672 |
| Square | 2149991424 |
| Cube | 99690802348032 |
| Square root | 215.332301 (= 12√322) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.6368 × |
46368 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand three hundred and sixty-eight |
| Binary (base 2) | 1011010100100000 |
| Octal (base 8) | 132440 |
| Hexadecimal (base 16) | B520 |
| Base 3 | 2100121100 |
| As time | 46368 seconds = 12 h 52 min 48 s |
Is 46368 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46368 ÷ 2 = 23184) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46368 ÷ 3 = 15456) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46368 ÷ 4 = 11592) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (46368 ÷ 6 = 7728) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (46368 ÷ 7 = 6624) | 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 (46368 ÷ 8 = 5796) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (46368 ÷ 9 = 5152) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (46368 ÷ 12 = 3864) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46368 a prime number?
No. 46368 = × × 7 × 23, so it is divisible by 2.
What are the factors of 46368?
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 23, 24, 28, 32, 36, 42, 46, 48, 56, 63, 69, 72, 84, 92, 96, 112, 126, 138, 144, 161, 168, 184, 207, 224, 252, 276, 288, 322, 336, 368, 414, 483, 504, 552, 644, 672, 736, 828, 966, 1008, 1104, 1288, 1449, 1656, 1932, 2016, 2208, 2576, 2898, 3312, 3864, 5152, 5796, 6624, 7728, 11592, 15456, 23184, 46368.
What is 46368 in binary?
1011010100100000 (hexadecimal B520, octal 132440).
What is the square root of 46368?
About 215.3323, exactly 12√322.
Is 46368 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 46368?
46368 is a Fibonacci number.