The number 44002
44002 is a composite number with 12 divisors. Its prime factorisation is 2 × × 449. Divisors (12): 1, 2, 7, 14, 49, 98, 449, 898, 3143, 6286, 22001, 44002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
44002 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
44002 is composite. Its prime factorisation is
- 3
The divisors add up to 76950; without 44002 itself that is 32948, so 44002 is deficient (32948 is less than 44002). Euler's totient φ(44002) = 18816 numbers up to 44002 share no factor with it.
- 4
The digits of 44002 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 44002 = 2 \times 7^{2} \times 449 \]44002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 76950 |
| Euler totient φ(n) | 18816 |
| Square | 1936176004 |
| Cube | 85195616528008 |
| Square root | 209.766537 (= 7√898) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.4002 × |
44002 in other forms
| Form | Value |
|---|---|
| In words | forty-four thousand and two |
| Binary (base 2) | 1010101111100010 |
| Octal (base 8) | 125742 |
| Hexadecimal (base 16) | ABE2 |
| Base 3 | 2020100201 |
| As time | 44002 seconds = 12 h 13 min 22 s |
Is 44002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (44002 ÷ 2 = 22001) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (44002 ÷ 7 = 6286) | 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 1) | 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 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 44002 a prime number?
No. 44002 = 2 × × 449, so it is divisible by 2.
What are the factors of 44002?
1, 2, 7, 14, 49, 98, 449, 898, 3143, 6286, 22001, 44002.
What is 44002 in binary?
1010101111100010 (hexadecimal ABE2, octal 125742).
What is the square root of 44002?
About 209.7665, exactly 7√898.
Is 44002 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 44002?
It is a composite number with 12 divisors.