The number 5562
5562 is a composite number with 16 divisors. Its prime factorisation is 2 × × 103. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 103, 206, 309, 618, 927, 1854, 2781, 5562.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5562: a Harshad number: divisible by its digit sum 18.
- 2
5562 is composite. Its prime factorisation is
- 3
The divisors add up to 12480; without 5562 itself that is 6918, so 5562 is abundant (6918 is more than 5562). Euler's totient φ(5562) = 1836 numbers up to 5562 share no factor with it.
- 4
The digits of 5562 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5562 = 2 \times 3^{3} \times 103 \]5562 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 12480 |
| Euler totient φ(n) | 1836 |
| Square | 30935844 |
| Cube | 172065164328 |
| Square root | 74.578817 (= 3√618) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 129 |
| Scientific notation | 5.562 × |
5562 in other forms
| Form | Value |
|---|---|
| In words | five thousand five hundred and sixty-two |
| Binary (base 2) | 1010110111010 |
| Octal (base 8) | 12672 |
| Hexadecimal (base 16) | 15BA |
| Base 3 | 21122000 |
| As time | 5562 seconds = 1 h 32 min 42 s |
Is 5562 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5562 ÷ 2 = 2781) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5562 ÷ 3 = 1854) | 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 (5562 ÷ 6 = 927) | 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 | Yes (5562 ÷ 9 = 618) | 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 7) | 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 5562 a prime number?
No. 5562 = 2 × × 103, so it is divisible by 2.
What are the factors of 5562?
1, 2, 3, 6, 9, 18, 27, 54, 103, 206, 309, 618, 927, 1854, 2781, 5562.
What is 5562 in binary?
1010110111010 (hexadecimal 15BA, octal 12672).
What is the square root of 5562?
About 74.5788, exactly 3√618.
Is 5562 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 5562?
5562 is a Harshad number: divisible by its digit sum 18.