The number 4046
4046 is a composite number with 12 divisors. Its prime factorisation is 2 × 7 × . Divisors (12): 1, 2, 7, 14, 17, 34, 119, 238, 289, 578, 2023, 4046.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4046: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 14.
- 2
4046 is composite. Its prime factorisation is
- 3
The divisors add up to 7368; without 4046 itself that is 3322, so 4046 is deficient (3322 is less than 4046). Euler's totient φ(4046) = 1632 numbers up to 4046 share no factor with it.
- 4
The digits of 4046 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 157 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4046 = 2 \times 7 \times 17^{2} \]4046 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 7368 |
| Euler totient φ(n) | 1632 |
| Square | 16370116 |
| Cube | 66233489336 |
| Square root | 63.608176 (= 17√14) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 157 |
| Scientific notation | 4.046 × |
4046 in other forms
| Form | Value |
|---|---|
| In words | four thousand and forty-six |
| Binary (base 2) | 111111001110 |
| Octal (base 8) | 7716 |
| Hexadecimal (base 16) | FCE |
| Base 3 | 12112212 |
| As time | 4046 seconds = 1 h 7 min 26 s |
Is 4046 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4046 ÷ 2 = 2023) | 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 2) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (4046 ÷ 7 = 578) | 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 6) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4046 a prime number?
No. 4046 = 2 × 7 × , so it is divisible by 2.
What are the factors of 4046?
1, 2, 7, 14, 17, 34, 119, 238, 289, 578, 2023, 4046.
What is 4046 in binary?
111111001110 (hexadecimal FCE, octal 7716).
What is the square root of 4046?
About 63.6082, exactly 17√14.
Is 4046 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 4046?
4046 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 14.