The number 46004
46004 is a composite number with 24 divisors. Its prime factorisation is × 7 × 31 × 53. Divisors (24): 1, 2, 4, 7, 14, 28, 31, 53, 62, 106, 124, 212, 217, 371, 434, 742 … 46004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46004: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 14.
- 2
46004 is composite. Its prime factorisation is
- 3
The divisors add up to 96768; without 46004 itself that is 50764, so 46004 is abundant (50764 is more than 46004). Euler's totient φ(46004) = 18720 numbers up to 46004 share no factor with it.
- 4
The digits of 46004 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 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46004 = 2^{2} \times 7 \times 31 \times 53 \]46004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 96768 |
| Euler totient φ(n) | 18720 |
| Square | 2116368016 |
| Cube | 97361394208064 |
| Square root | 214.485431 (= 2√11501) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.6004 × |
46004 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand and four |
| Binary (base 2) | 1011001110110100 |
| Octal (base 8) | 131664 |
| Hexadecimal (base 16) | B3B4 |
| Base 3 | 2100002212 |
| As time | 46004 seconds = 12 h 46 min 44 s |
Is 46004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46004 ÷ 2 = 23002) | 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 | Yes (46004 ÷ 4 = 11501) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (46004 ÷ 7 = 6572) | 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 4) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46004 a prime number?
No. 46004 = × 7 × 31 × 53, so it is divisible by 2.
What are the factors of 46004?
1, 2, 4, 7, 14, 28, 31, 53, 62, 106, 124, 212, 217, 371, 434, 742, 868, 1484, 1643, 3286, 6572, 11501, 23002, 46004.
What is 46004 in binary?
1011001110110100 (hexadecimal B3B4, octal 131664).
What is the square root of 46004?
About 214.4854, exactly 2√11501.
Is 46004 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 46004?
46004 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 14.