The number 46760
46760 is a composite number with 32 divisors. Its prime factorisation is × 5 × 7 × 167. Divisors (32): 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 167 … 46760.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46760 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46760 is composite. Its prime factorisation is
- 3
The divisors add up to 120960; without 46760 itself that is 74200, so 46760 is abundant (74200 is more than 46760). Euler's totient φ(46760) = 15936 numbers up to 46760 share no factor with it.
- 4
The digits of 46760 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46760 = 2^{3} \times 5 \times 7 \times 167 \]46760 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 120960 |
| Euler totient φ(n) | 15936 |
| Square | 2186497600 |
| Cube | 102240627776000 |
| Square root | 216.240607 (= 2√11690) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.676 × |
46760 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand seven hundred and sixty |
| Binary (base 2) | 1011011010101000 |
| Octal (base 8) | 133250 |
| Hexadecimal (base 16) | B6A8 |
| Base 3 | 2101010212 |
| As time | 46760 seconds = 12 h 59 min 20 s |
Is 46760 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46760 ÷ 2 = 23380) | 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 (46760 ÷ 4 = 11690) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (46760 ÷ 5 = 9352) | 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 | Yes (46760 ÷ 7 = 6680) | 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 (46760 ÷ 8 = 5845) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (46760 ÷ 10 = 4676) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 46760 a prime number?
No. 46760 = × 5 × 7 × 167, so it is divisible by 2.
What are the factors of 46760?
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 167, 280, 334, 668, 835, 1169, 1336, 1670, 2338, 3340, 4676, 5845, 6680, 9352, 11690, 23380, 46760.
What is 46760 in binary?
1011011010101000 (hexadecimal B6A8, octal 133250).
What is the square root of 46760?
About 216.2406, exactly 2√11690.
Is 46760 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 46760?
It is a composite number with 32 divisors.