The number 67972
67972 is a composite number with 6 divisors. Its prime factorisation is × 16993. Divisors (6): 1, 2, 4, 16993, 33986, 67972.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67972: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
67972 is composite. Its prime factorisation is
- 3
The divisors add up to 118958; without 67972 itself that is 50986, so 67972 is deficient (50986 is less than 67972). Euler's totient φ(67972) = 33984 numbers up to 67972 share no factor with it.
- 4
The digits of 67972 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67972 = 2^{2} \times 16993 \]67972 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 118958 |
| Euler totient φ(n) | 33984 |
| Square | 4620192784 |
| Cube | 314043743914048 |
| Square root | 260.714403 (= 2√16993) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.7972 × |
67972 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand nine hundred and seventy-two |
| Binary (base 2) | 10000100110000100 |
| Octal (base 8) | 204604 |
| Hexadecimal (base 16) | 10984 |
| Base 3 | 10110020111 |
| As time | 67972 seconds = 18 h 52 min 52 s |
Is 67972 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67972 ÷ 2 = 33986) | 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 (67972 ÷ 4 = 16993) | 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 2) | 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 4) | 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 3) | 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 67972 a prime number?
No. 67972 = × 16993, so it is divisible by 2.
What are the factors of 67972?
1, 2, 4, 16993, 33986, 67972.
What is 67972 in binary?
10000100110000100 (hexadecimal 10984, octal 204604).
What is the square root of 67972?
About 260.7144, exactly 2√16993.
Is 67972 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 67972?
67972 is a happy number: repeatedly adding the squares of its digits reaches 1.