The number 46761
46761 is a composite number with 16 divisors. Its prime factorisation is 3 × 11 × 13 × 109. Divisors (16): 1, 3, 11, 13, 33, 39, 109, 143, 327, 429, 1199, 1417, 3597, 4251, 15587, 46761.
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How to work it out
- 1
46761 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46761 is composite. Its prime factorisation is
- 3
The divisors add up to 73920; without 46761 itself that is 27159, so 46761 is deficient (27159 is less than 46761). Euler's totient φ(46761) = 25920 numbers up to 46761 share no factor with it.
- 4
The digits of 46761 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46761 = 3 \times 11 \times 13 \times 109 \]
46761 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 73920 |
| Euler totient φ(n) | 25920 |
| Square | 2186591121 |
| Cube | 102247187409081 |
| Square root | 216.242919 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.6761 × |
46761 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand seven hundred and sixty-one |
| Binary (base 2) | 1011011010101001 |
| Octal (base 8) | 133251 |
| Hexadecimal (base 16) | B6A9 |
| Base 3 | 2101010220 |
| As time | 46761 seconds = 12 h 59 min 21 s |
Is 46761 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46761 ÷ 3 = 15587) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (46761 ÷ 11 = 4251) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46761 a prime number?
No. 46761 = 3 × 11 × 13 × 109, so it is divisible by 3.
What are the factors of 46761?
1, 3, 11, 13, 33, 39, 109, 143, 327, 429, 1199, 1417, 3597, 4251, 15587, 46761.
What is 46761 in binary?
1011011010101001 (hexadecimal B6A9, octal 133251).
What is the square root of 46761?
About 216.2429.
Is 46761 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 46761?
It is a composite number with 16 divisors.