The number 55002
55002 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 89 × 103. Divisors (16): 1, 2, 3, 6, 89, 103, 178, 206, 267, 309, 534, 618, 9167, 18334, 27501, 55002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55002 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55002 is composite. Its prime factorisation is
- 3
The divisors add up to 112320; without 55002 itself that is 57318, so 55002 is abundant (57318 is more than 55002). Euler's totient φ(55002) = 17952 numbers up to 55002 share no factor with it.
- 4
The digits of 55002 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 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55002 = 2 \times 3 \times 89 \times 103 \]
55002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 112320 |
| Euler totient φ(n) | 17952 |
| Square | 3025220004 |
| Cube | 166393150660008 |
| Square root | 234.525052 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5002 × |
55002 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand and two |
| Binary (base 2) | 1101011011011010 |
| Octal (base 8) | 153332 |
| Hexadecimal (base 16) | D6DA |
| Base 3 | 2210110010 |
| As time | 55002 seconds = 15 h 16 min 42 s |
Is 55002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55002 ÷ 2 = 27501) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55002 ÷ 3 = 18334) | 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 (55002 ÷ 6 = 9167) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | No (remainder 2) | 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 55002 a prime number?
No. 55002 = 2 × 3 × 89 × 103, so it is divisible by 2.
What are the factors of 55002?
1, 2, 3, 6, 89, 103, 178, 206, 267, 309, 534, 618, 9167, 18334, 27501, 55002.
What is 55002 in binary?
1101011011011010 (hexadecimal D6DA, octal 153332).
What is the square root of 55002?
About 234.5251.
Is 55002 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 55002?
It is a composite number with 16 divisors.