The number 46879
46879 is a composite number with 8 divisors. Its prime factorisation is 7 × 37 × 181. Divisors (8): 1, 7, 37, 181, 259, 1267, 6697, 46879.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46879 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46879 is composite. Its prime factorisation is
- 3
The divisors add up to 55328; without 46879 itself that is 8449, so 46879 is deficient (8449 is less than 46879). Euler's totient φ(46879) = 38880 numbers up to 46879 share no factor with it.
- 4
The digits of 46879 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46879 = 7 \times 37 \times 181 \]
46879 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 55328 |
| Euler totient φ(n) | 38880 |
| Square | 2197640641 |
| Cube | 103023195609439 |
| Square root | 216.515588 |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 132 |
| Scientific notation | 4.6879 × |
46879 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand eight hundred and seventy-nine |
| Binary (base 2) | 1011011100011111 |
| Octal (base 8) | 133437 |
| Hexadecimal (base 16) | B71F |
| Base 3 | 2101022021 |
| As time | 46879 seconds = 13 h 1 min 19 s |
Is 46879 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 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (46879 ÷ 7 = 6697) | 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 7) | 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 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46879 a prime number?
No. 46879 = 7 × 37 × 181, so it is divisible by 7.
What are the factors of 46879?
1, 7, 37, 181, 259, 1267, 6697, 46879.
What is 46879 in binary?
1011011100011111 (hexadecimal B71F, octal 133437).
What is the square root of 46879?
About 216.5156.
Is 46879 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 46879?
It is a composite number with 8 divisors.