The number 17072
17072 is a composite number with 20 divisors. Its prime factorisation is × 11 × 97. Divisors (20): 1, 2, 4, 8, 11, 16, 22, 44, 88, 97, 176, 194, 388, 776, 1067, 1552 … 17072.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17072: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
17072 is composite. Its prime factorisation is
- 3
The divisors add up to 36456; without 17072 itself that is 19384, so 17072 is abundant (19384 is more than 17072). Euler's totient φ(17072) = 7680 numbers up to 17072 share no factor with it.
- 4
The digits of 17072 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17072 = 2^{4} \times 11 \times 97 \]17072 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 36456 |
| Euler totient φ(n) | 7680 |
| Square | 291453184 |
| Cube | 4975688757248 |
| Square root | 130.659864 (= 4√1067) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.7072 × |
17072 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand and seventy-two |
| Binary (base 2) | 100001010110000 |
| Octal (base 8) | 41260 |
| Hexadecimal (base 16) | 42B0 |
| Base 3 | 212102022 |
| As time | 17072 seconds = 4 h 44 min 32 s |
Is 17072 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17072 ÷ 2 = 8536) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (17072 ÷ 4 = 4268) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (17072 ÷ 8 = 2134) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 | Yes (17072 ÷ 11 = 1552) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17072 a prime number?
No. 17072 = × 11 × 97, so it is divisible by 2.
What are the factors of 17072?
1, 2, 4, 8, 11, 16, 22, 44, 88, 97, 176, 194, 388, 776, 1067, 1552, 2134, 4268, 8536, 17072.
What is 17072 in binary?
100001010110000 (hexadecimal 42B0, octal 41260).
What is the square root of 17072?
About 130.6599, exactly 4√1067.
Is 17072 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 17072?
17072 is a happy number: repeatedly adding the squares of its digits reaches 1.