The number 67276
67276 is a palindrome: it reads 67276 backwards too. Its prime factorisation is × × 139. Divisors (18): 1, 2, 4, 11, 22, 44, 121, 139, 242, 278, 484, 556, 1529, 3058, 6116, 16819 … 67276.
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How to work it out
- 1
What is special about 67276: a palindrome: it reads 67276 backwards too.
- 2
67276 is composite. Its prime factorisation is
- 3
The divisors add up to 130340; without 67276 itself that is 63064, so 67276 is deficient (63064 is less than 67276). Euler's totient φ(67276) = 30360 numbers up to 67276 share no factor with it.
- 4
The digits of 67276 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67276 = 2^{2} \times 11^{2} \times 139 \]67276 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 130340 |
| Euler totient φ(n) | 30360 |
| Square | 4526060176 |
| Cube | 304495224400576 |
| Square root | 259.376175 (= 22√139) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7276 × |
67276 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand two hundred and seventy-six |
| Binary (base 2) | 10000011011001100 |
| Octal (base 8) | 203314 |
| Hexadecimal (base 16) | 106CC |
| Base 3 | 10102021201 |
| As time | 67276 seconds = 18 h 41 min 16 s |
Is 67276 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67276 ÷ 2 = 33638) | 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 (67276 ÷ 4 = 16819) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 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 | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (67276 ÷ 11 = 6116) | 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 67276 a prime number?
No. 67276 = × × 139, so it is divisible by 2.
What are the factors of 67276?
1, 2, 4, 11, 22, 44, 121, 139, 242, 278, 484, 556, 1529, 3058, 6116, 16819, 33638, 67276.
What is 67276 in binary?
10000011011001100 (hexadecimal 106CC, octal 203314).
What is the square root of 67276?
About 259.3762, exactly 22√139.
Is 67276 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 67276?
67276 is a palindrome: it reads 67276 backwards too.