The number 67172
67172 is a composite number with 12 divisors. Its prime factorisation is × 7 × 2399. Divisors (12): 1, 2, 4, 7, 14, 28, 2399, 4798, 9596, 16793, 33586, 67172.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67172: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
67172 is composite. Its prime factorisation is
- 3
The divisors add up to 134400; without 67172 itself that is 67228, so 67172 is abundant (67228 is more than 67172). Euler's totient φ(67172) = 28776 numbers up to 67172 share no factor with it.
- 4
The digits of 67172 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67172 = 2^{2} \times 7 \times 2399 \]67172 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 134400 |
| Euler totient φ(n) | 28776 |
| Square | 4512077584 |
| Cube | 303085275472448 |
| Square root | 259.175616 (= 2√16793) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7172 × |
67172 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand one hundred and seventy-two |
| Binary (base 2) | 10000011001100100 |
| Octal (base 8) | 203144 |
| Hexadecimal (base 16) | 10664 |
| Base 3 | 10102010212 |
| As time | 67172 seconds = 18 h 39 min 32 s |
Is 67172 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67172 ÷ 2 = 33586) | 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 (67172 ÷ 4 = 16793) | 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 | Yes (67172 ÷ 7 = 9596) | 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 5) | 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 6) | 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 67172 a prime number?
No. 67172 = × 7 × 2399, so it is divisible by 2.
What are the factors of 67172?
1, 2, 4, 7, 14, 28, 2399, 4798, 9596, 16793, 33586, 67172.
What is 67172 in binary?
10000011001100100 (hexadecimal 10664, octal 203144).
What is the square root of 67172?
About 259.1756, exactly 2√16793.
Is 67172 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 67172?
67172 is a happy number: repeatedly adding the squares of its digits reaches 1.