The number 15522
15522 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 13 × 199. Divisors (16): 1, 2, 3, 6, 13, 26, 39, 78, 199, 398, 597, 1194, 2587, 5174, 7761, 15522.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
15522 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
15522 is composite. Its prime factorisation is
- 3
The divisors add up to 33600; without 15522 itself that is 18078, so 15522 is abundant (18078 is more than 15522). Euler's totient φ(15522) = 4752 numbers up to 15522 share no factor with it.
- 4
The digits of 15522 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 146 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15522 = 2 \times 3 \times 13 \times 199 \]
15522 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 33600 |
| Euler totient φ(n) | 4752 |
| Square | 240932484 |
| Cube | 3739754016648 |
| Square root | 124.587319 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 146 |
| Scientific notation | 1.5522 × |
15522 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand five hundred and twenty-two |
| Binary (base 2) | 11110010100010 |
| Octal (base 8) | 36242 |
| Hexadecimal (base 16) | 3CA2 |
| Base 3 | 210021220 |
| As time | 15522 seconds = 4 h 18 min 42 s |
Is 15522 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15522 ÷ 2 = 7761) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (15522 ÷ 3 = 5174) | 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 (15522 ÷ 6 = 2587) | 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 6) | 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 1) | 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 15522 a prime number?
No. 15522 = 2 × 3 × 13 × 199, so it is divisible by 2.
What are the factors of 15522?
1, 2, 3, 6, 13, 26, 39, 78, 199, 398, 597, 1194, 2587, 5174, 7761, 15522.
What is 15522 in binary?
11110010100010 (hexadecimal 3CA2, octal 36242).
What is the square root of 15522?
About 124.5873.
Is 15522 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 15522?
It is a composite number with 16 divisors.