The number 76467
76467 is a palindrome: it reads 76467 backwards too. Its prime factorisation is 3 × 71 × 359. Divisors (8): 1, 3, 71, 213, 359, 1077, 25489, 76467.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 76467: a palindrome: it reads 76467 backwards too.
- 2
76467 is composite. Its prime factorisation is
- 3
The divisors add up to 103680; without 76467 itself that is 27213, so 76467 is deficient (27213 is less than 76467). Euler's totient φ(76467) = 50120 numbers up to 76467 share no factor with it.
- 4
The digits of 76467 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76467 = 3 \times 71 \times 359 \]
76467 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 103680 |
| Euler totient φ(n) | 50120 |
| Square | 5847202089 |
| Cube | 447118002139563 |
| Square root | 276.526671 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 81 |
| Scientific notation | 7.6467 × |
76467 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand four hundred and sixty-seven |
| Binary (base 2) | 10010101010110011 |
| Octal (base 8) | 225263 |
| Hexadecimal (base 16) | 12AB3 |
| Base 3 | 10212220010 |
| As time | 76467 seconds = 21 h 14 min 27 s |
Is 76467 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (76467 ÷ 3 = 25489) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76467 a prime number?
No. 76467 = 3 × 71 × 359, so it is divisible by 3.
What are the factors of 76467?
1, 3, 71, 213, 359, 1077, 25489, 76467.
What is 76467 in binary?
10010101010110011 (hexadecimal 12AB3, octal 225263).
What is the square root of 76467?
About 276.5267.
Is 76467 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 76467?
76467 is a palindrome: it reads 76467 backwards too.