The number 17164
17164 is a composite number with 12 divisors. Its prime factorisation is × 7 × 613. Divisors (12): 1, 2, 4, 7, 14, 28, 613, 1226, 2452, 4291, 8582, 17164.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17164: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
17164 is composite. Its prime factorisation is
- 3
The divisors add up to 34384; without 17164 itself that is 17220, so 17164 is abundant (17220 is more than 17164). Euler's totient φ(17164) = 7344 numbers up to 17164 share no factor with it.
- 4
The digits of 17164 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 79 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17164 = 2^{2} \times 7 \times 613 \]17164 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 34384 |
| Euler totient φ(n) | 7344 |
| Square | 294602896 |
| Cube | 5056564106944 |
| Square root | 131.011450 (= 2√4291) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 79 |
| Scientific notation | 1.7164 × |
17164 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand one hundred and sixty-four |
| Binary (base 2) | 100001100001100 |
| Octal (base 8) | 41414 |
| Hexadecimal (base 16) | 430C |
| Base 3 | 212112201 |
| As time | 17164 seconds = 4 h 46 min 4 s |
Is 17164 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17164 ÷ 2 = 8582) | 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 (17164 ÷ 4 = 4291) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | Yes (17164 ÷ 7 = 2452) | 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 4) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 17164 a prime number?
No. 17164 = × 7 × 613, so it is divisible by 2.
What are the factors of 17164?
1, 2, 4, 7, 14, 28, 613, 1226, 2452, 4291, 8582, 17164.
What is 17164 in binary?
100001100001100 (hexadecimal 430C, octal 41414).
What is the square root of 17164?
About 131.0114, exactly 2√4291.
Is 17164 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 17164?
17164 is a happy number: repeatedly adding the squares of its digits reaches 1.