The number 16552
16552 is a composite number with 8 divisors. Its prime factorisation is × 2069. Divisors (8): 1, 2, 4, 8, 2069, 4138, 8276, 16552.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16552: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
16552 is composite. Its prime factorisation is
- 3
The divisors add up to 31050; without 16552 itself that is 14498, so 16552 is deficient (14498 is less than 16552). Euler's totient φ(16552) = 8272 numbers up to 16552 share no factor with it.
- 4
The digits of 16552 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16552 = 2^{3} \times 2069 \]16552 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 31050 |
| Euler totient φ(n) | 8272 |
| Square | 273968704 |
| Cube | 4534729988608 |
| Square root | 128.654576 (= 2√4138) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 128 |
| Scientific notation | 1.6552 × |
16552 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand five hundred and fifty-two |
| Binary (base 2) | 100000010101000 |
| Octal (base 8) | 40250 |
| Hexadecimal (base 16) | 40A8 |
| Base 3 | 211201001 |
| As time | 16552 seconds = 4 h 35 min 52 s |
Is 16552 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16552 ÷ 2 = 8276) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (16552 ÷ 4 = 4138) | 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 4) | 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 | Yes (16552 ÷ 8 = 2069) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16552 a prime number?
No. 16552 = × 2069, so it is divisible by 2.
What are the factors of 16552?
1, 2, 4, 8, 2069, 4138, 8276, 16552.
What is 16552 in binary?
100000010101000 (hexadecimal 40A8, octal 40250).
What is the square root of 16552?
About 128.6546, exactly 2√4138.
Is 16552 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 16552?
16552 is a happy number: repeatedly adding the squares of its digits reaches 1.