The number 46476
46476 is a composite number with 18 divisors. Its prime factorisation is × × 1291. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 1291, 2582, 3873, 5164, 7746, 11619, 15492 … 46476.
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How to work it out
- 1
46476 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46476 is composite. Its prime factorisation is
- 3
The divisors add up to 117572; without 46476 itself that is 71096, so 46476 is abundant (71096 is more than 46476). Euler's totient φ(46476) = 15480 numbers up to 46476 share no factor with it.
- 4
The digits of 46476 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 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46476 = 2^{2} \times 3^{2} \times 1291 \]46476 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 117572 |
| Euler totient φ(n) | 15480 |
| Square | 2160018576 |
| Cube | 100389023338176 |
| Square root | 215.582931 (= 6√1291) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.6476 × |
46476 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand four hundred and seventy-six |
| Binary (base 2) | 1011010110001100 |
| Octal (base 8) | 132614 |
| Hexadecimal (base 16) | B58C |
| Base 3 | 2100202100 |
| As time | 46476 seconds = 12 h 54 min 36 s |
Is 46476 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46476 ÷ 2 = 23238) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46476 ÷ 3 = 15492) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46476 ÷ 4 = 11619) | 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 (46476 ÷ 6 = 7746) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (46476 ÷ 9 = 5164) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (46476 ÷ 12 = 3873) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46476 a prime number?
No. 46476 = × × 1291, so it is divisible by 2.
What are the factors of 46476?
1, 2, 3, 4, 6, 9, 12, 18, 36, 1291, 2582, 3873, 5164, 7746, 11619, 15492, 23238, 46476.
What is 46476 in binary?
1011010110001100 (hexadecimal B58C, octal 132614).
What is the square root of 46476?
About 215.5829, exactly 6√1291.
Is 46476 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 46476?
It is a composite number with 18 divisors.