The number 54002
54002 is a composite number with 16 divisors. Its prime factorisation is 2 × 13 × 31 × 67. Divisors (16): 1, 2, 13, 26, 31, 62, 67, 134, 403, 806, 871, 1742, 2077, 4154, 27001, 54002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
54002 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54002 is composite. Its prime factorisation is
- 3
The divisors add up to 91392; without 54002 itself that is 37390, so 54002 is deficient (37390 is less than 54002). Euler's totient φ(54002) = 23760 numbers up to 54002 share no factor with it.
- 4
The digits of 54002 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 215 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54002 = 2 \times 13 \times 31 \times 67 \]
54002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 91392 |
| Euler totient φ(n) | 23760 |
| Square | 2916216004 |
| Cube | 157481496648008 |
| Square root | 232.383304 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 215 |
| Scientific notation | 5.4002 × |
54002 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand and two |
| Binary (base 2) | 1101001011110010 |
| Octal (base 8) | 151362 |
| Hexadecimal (base 16) | D2F2 |
| Base 3 | 2202002002 |
| As time | 54002 seconds = 15 h 0 min 2 s |
Is 54002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54002 ÷ 2 = 27001) | 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 2) | 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 | No (remainder 4) | 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 2) | 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 3) | 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 54002 a prime number?
No. 54002 = 2 × 13 × 31 × 67, so it is divisible by 2.
What are the factors of 54002?
1, 2, 13, 26, 31, 62, 67, 134, 403, 806, 871, 1742, 2077, 4154, 27001, 54002.
What is 54002 in binary?
1101001011110010 (hexadecimal D2F2, octal 151362).
What is the square root of 54002?
About 232.3833.
Is 54002 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 54002?
It is a composite number with 16 divisors.