The number 46002
46002 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 11 × 17 × 41. Divisors (32): 1, 2, 3, 6, 11, 17, 22, 33, 34, 41, 51, 66, 82, 102, 123, 187 … 46002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46002 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46002 is composite. Its prime factorisation is
- 3
The divisors add up to 108864; without 46002 itself that is 62862, so 46002 is abundant (62862 is more than 46002). Euler's totient φ(46002) = 12800 numbers up to 46002 share no factor with it.
- 4
The digits of 46002 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46002 = 2 \times 3 \times 11 \times 17 \times 41 \]
46002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 108864 |
| Euler totient φ(n) | 12800 |
| Square | 2116184004 |
| Cube | 97348696552008 |
| Square root | 214.480768 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.6002 × |
46002 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand and two |
| Binary (base 2) | 1011001110110010 |
| Octal (base 8) | 131662 |
| Hexadecimal (base 16) | B3B2 |
| Base 3 | 2100002210 |
| As time | 46002 seconds = 12 h 46 min 42 s |
Is 46002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46002 ÷ 2 = 23001) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46002 ÷ 3 = 15334) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (46002 ÷ 6 = 7667) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (46002 ÷ 11 = 4182) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46002 a prime number?
No. 46002 = 2 × 3 × 11 × 17 × 41, so it is divisible by 2.
What are the factors of 46002?
1, 2, 3, 6, 11, 17, 22, 33, 34, 41, 51, 66, 82, 102, 123, 187, 246, 374, 451, 561, 697, 902, 1122, 1353, 1394, 2091, 2706, 4182, 7667, 15334, 23001, 46002.
What is 46002 in binary?
1011001110110010 (hexadecimal B3B2, octal 131662).
What is the square root of 46002?
About 214.4808.
Is 46002 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 46002?
It is a composite number with 32 divisors.