The number 46739
46739 is a composite number with 8 divisors. Its prime factorisation is 7 × 11 × 607. Divisors (8): 1, 7, 11, 77, 607, 4249, 6677, 46739.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46739 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46739 is composite. Its prime factorisation is
- 3
The divisors add up to 58368; without 46739 itself that is 11629, so 46739 is deficient (11629 is less than 46739). Euler's totient φ(46739) = 36360 numbers up to 46739 share no factor with it.
- 4
The digits of 46739 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46739 = 7 \times 11 \times 607 \]
46739 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 58368 |
| Euler totient φ(n) | 36360 |
| Square | 2184534121 |
| Cube | 102102940281419 |
| Square root | 216.192044 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.6739 × |
46739 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand seven hundred and thirty-nine |
| Binary (base 2) | 1011011010010011 |
| Octal (base 8) | 133223 |
| Hexadecimal (base 16) | B693 |
| Base 3 | 2101010002 |
| As time | 46739 seconds = 12 h 58 min 59 s |
Is 46739 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (46739 ÷ 7 = 6677) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 | Yes (46739 ÷ 11 = 4249) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46739 a prime number?
No. 46739 = 7 × 11 × 607, so it is divisible by 7.
What are the factors of 46739?
1, 7, 11, 77, 607, 4249, 6677, 46739.
What is 46739 in binary?
1011011010010011 (hexadecimal B693, octal 133223).
What is the square root of 46739?
About 216.1920.
Is 46739 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 46739?
It is a composite number with 8 divisors.