The number 46949
46949 is a composite number with 8 divisors. Its prime factorisation is 7 × 19 × 353. Divisors (8): 1, 7, 19, 133, 353, 2471, 6707, 46949.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46949: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
46949 is composite. Its prime factorisation is
- 3
The divisors add up to 56640; without 46949 itself that is 9691, so 46949 is deficient (9691 is less than 46949). Euler's totient φ(46949) = 38016 numbers up to 46949 share no factor with it.
- 4
The digits of 46949 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46949 = 7 \times 19 \times 353 \]
46949 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 56640 |
| Euler totient φ(n) | 38016 |
| Square | 2204208601 |
| Cube | 103485389608349 |
| Square root | 216.677179 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.6949 × |
46949 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand nine hundred and forty-nine |
| Binary (base 2) | 1011011101100101 |
| Octal (base 8) | 133545 |
| Hexadecimal (base 16) | B765 |
| Base 3 | 2101101212 |
| As time | 46949 seconds = 13 h 2 min 29 s |
Is 46949 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 1) | 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 (46949 ÷ 7 = 6707) | 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 5) | 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 | No (remainder 9) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46949 a prime number?
No. 46949 = 7 × 19 × 353, so it is divisible by 7.
What are the factors of 46949?
1, 7, 19, 133, 353, 2471, 6707, 46949.
What is 46949 in binary?
1011011101100101 (hexadecimal B765, octal 133545).
What is the square root of 46949?
About 216.6772.
Is 46949 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 46949?
46949 is a happy number: repeatedly adding the squares of its digits reaches 1.