The number 46960
46960 is a composite number with 20 divisors. Its prime factorisation is × 5 × 587. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 587, 1174, 2348, 2935, 4696, 5870 … 46960.
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How to work it out
- 1
46960 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46960 is composite. Its prime factorisation is
- 3
The divisors add up to 109368; without 46960 itself that is 62408, so 46960 is abundant (62408 is more than 46960). Euler's totient φ(46960) = 18752 numbers up to 46960 share no factor with it.
- 4
The digits of 46960 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46960 = 2^{4} \times 5 \times 587 \]46960 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 109368 |
| Euler totient φ(n) | 18752 |
| Square | 2205241600 |
| Cube | 103558145536000 |
| Square root | 216.702561 (= 4√2935) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.696 × |
46960 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand nine hundred and sixty |
| Binary (base 2) | 1011011101110000 |
| Octal (base 8) | 133560 |
| Hexadecimal (base 16) | B770 |
| Base 3 | 2101102021 |
| As time | 46960 seconds = 13 h 2 min 40 s |
Is 46960 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46960 ÷ 2 = 23480) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46960 ÷ 4 = 11740) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (46960 ÷ 5 = 9392) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (46960 ÷ 8 = 5870) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (46960 ÷ 10 = 4696) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46960 a prime number?
No. 46960 = × 5 × 587, so it is divisible by 2.
What are the factors of 46960?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 587, 1174, 2348, 2935, 4696, 5870, 9392, 11740, 23480, 46960.
What is 46960 in binary?
1011011101110000 (hexadecimal B770, octal 133560).
What is the square root of 46960?
About 216.7026, exactly 4√2935.
Is 46960 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 46960?
It is a composite number with 20 divisors.