The number 46376
46376 is a composite number with 32 divisors. Its prime factorisation is × 11 × 17 × 31. Divisors (32): 1, 2, 4, 8, 11, 17, 22, 31, 34, 44, 62, 68, 88, 124, 136, 187 … 46376.
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How to work it out
- 1
46376 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46376 is composite. Its prime factorisation is
- 3
The divisors add up to 103680; without 46376 itself that is 57304, so 46376 is abundant (57304 is more than 46376). Euler's totient φ(46376) = 19200 numbers up to 46376 share no factor with it.
- 4
The digits of 46376 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46376 = 2^{3} \times 11 \times 17 \times 31 \]46376 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 103680 |
| Euler totient φ(n) | 19200 |
| Square | 2150733376 |
| Cube | 99742411045376 |
| Square root | 215.350876 (= 2√11594) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.6376 × |
46376 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand three hundred and seventy-six |
| Binary (base 2) | 1011010100101000 |
| Octal (base 8) | 132450 |
| Hexadecimal (base 16) | B528 |
| Base 3 | 2100121122 |
| As time | 46376 seconds = 12 h 52 min 56 s |
Is 46376 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46376 ÷ 2 = 23188) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46376 ÷ 4 = 11594) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (46376 ÷ 8 = 5797) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 | Yes (46376 ÷ 11 = 4216) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46376 a prime number?
No. 46376 = × 11 × 17 × 31, so it is divisible by 2.
What are the factors of 46376?
1, 2, 4, 8, 11, 17, 22, 31, 34, 44, 62, 68, 88, 124, 136, 187, 248, 341, 374, 527, 682, 748, 1054, 1364, 1496, 2108, 2728, 4216, 5797, 11594, 23188, 46376.
What is 46376 in binary?
1011010100101000 (hexadecimal B528, octal 132450).
What is the square root of 46376?
About 215.3509, exactly 2√11594.
Is 46376 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 46376?
It is a composite number with 32 divisors.