The number 16992
16992 is a composite number with 36 divisors. Its prime factorisation is × × 59. Divisors (36): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 59, 72 … 16992.
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How to work it out
- 1
What is special about 16992: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
16992 is composite. Its prime factorisation is
- 3
The divisors add up to 49140; without 16992 itself that is 32148, so 16992 is abundant (32148 is more than 16992). Euler's totient φ(16992) = 5568 numbers up to 16992 share no factor with it.
- 4
The digits of 16992 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16992 = 2^{5} \times 3^{2} \times 59 \]16992 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 49140 |
| Euler totient φ(n) | 5568 |
| Square | 288728064 |
| Cube | 4906067263488 |
| Square root | 130.353366 (= 12√118) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 128 |
| Scientific notation | 1.6992 × |
16992 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand nine hundred and ninety-two |
| Binary (base 2) | 100001001100000 |
| Octal (base 8) | 41140 |
| Hexadecimal (base 16) | 4260 |
| Base 3 | 212022100 |
| As time | 16992 seconds = 4 h 43 min 12 s |
Is 16992 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16992 ÷ 2 = 8496) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16992 ÷ 3 = 5664) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (16992 ÷ 4 = 4248) | 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 (16992 ÷ 6 = 2832) | 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 | Yes (16992 ÷ 8 = 2124) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (16992 ÷ 9 = 1888) | 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 | Yes (16992 ÷ 12 = 1416) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16992 a prime number?
No. 16992 = × × 59, so it is divisible by 2.
What are the factors of 16992?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 59, 72, 96, 118, 144, 177, 236, 288, 354, 472, 531, 708, 944, 1062, 1416, 1888, 2124, 2832, 4248, 5664, 8496, 16992.
What is 16992 in binary?
100001001100000 (hexadecimal 4260, octal 41140).
What is the square root of 16992?
About 130.3534, exactly 12√118.
Is 16992 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 16992?
16992 is a happy number: repeatedly adding the squares of its digits reaches 1.