The number 5502
5502 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 131. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 131, 262, 393, 786, 917, 1834, 2751, 5502.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5502 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5502 is composite. Its prime factorisation is
- 3
The divisors add up to 12672; without 5502 itself that is 7170, so 5502 is abundant (7170 is more than 5502). Euler's totient φ(5502) = 1560 numbers up to 5502 share no factor with it.
- 4
The digits of 5502 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 173 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5502 = 2 \times 3 \times 7 \times 131 \]
5502 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 12672 |
| Euler totient φ(n) | 1560 |
| Square | 30272004 |
| Cube | 166556566008 |
| Square root | 74.175468 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 173 |
| Scientific notation | 5.502 × |
5502 in other forms
| Form | Value |
|---|---|
| In words | five thousand five hundred and two |
| Binary (base 2) | 1010101111110 |
| Octal (base 8) | 12576 |
| Hexadecimal (base 16) | 157E |
| Base 3 | 21112210 |
| As time | 5502 seconds = 1 h 31 min 42 s |
Is 5502 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5502 ÷ 2 = 2751) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5502 ÷ 3 = 1834) | 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 (5502 ÷ 6 = 917) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (5502 ÷ 7 = 786) | 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 6) | 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 5502 a prime number?
No. 5502 = 2 × 3 × 7 × 131, so it is divisible by 2.
What are the factors of 5502?
1, 2, 3, 6, 7, 14, 21, 42, 131, 262, 393, 786, 917, 1834, 2751, 5502.
What is 5502 in binary?
1010101111110 (hexadecimal 157E, octal 12576).
What is the square root of 5502?
About 74.1755.
Is 5502 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 5502?
It is a composite number with 16 divisors.