The number 76908
76908 is a composite number with 48 divisors. Its prime factorisation is × 3 × 13 × 17 × 29. Divisors (48): 1, 2, 3, 4, 6, 12, 13, 17, 26, 29, 34, 39, 51, 52, 58, 68 … 76908.
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How to work it out
- 1
What is special about 76908: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
76908 is composite. Its prime factorisation is
- 3
The divisors add up to 211680; without 76908 itself that is 134772, so 76908 is abundant (134772 is more than 76908). Euler's totient φ(76908) = 21504 numbers up to 76908 share no factor with it.
- 4
The digits of 76908 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 161 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76908 = 2^{2} \times 3 \times 13 \times 17 \times 29 \]76908 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 211680 |
| Euler totient φ(n) | 21504 |
| Square | 5914840464 |
| Cube | 454898550405312 |
| Square root | 277.322916 (= 2√19227) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 161 |
| Scientific notation | 7.6908 × |
76908 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand nine hundred and eight |
| Binary (base 2) | 10010110001101100 |
| Octal (base 8) | 226154 |
| Hexadecimal (base 16) | 12C6C |
| Base 3 | 10220111110 |
| As time | 76908 seconds = 21 h 21 min 48 s |
Is 76908 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76908 ÷ 2 = 38454) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (76908 ÷ 3 = 25636) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (76908 ÷ 4 = 19227) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (76908 ÷ 6 = 12818) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (76908 ÷ 12 = 6409) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76908 a prime number?
No. 76908 = × 3 × 13 × 17 × 29, so it is divisible by 2.
What are the factors of 76908?
1, 2, 3, 4, 6, 12, 13, 17, 26, 29, 34, 39, 51, 52, 58, 68, 78, 87, 102, 116, 156, 174, 204, 221, 348, 377, 442, 493, 663, 754, 884, 986, 1131, 1326, 1479, 1508, 1972, 2262, 2652, 2958, 4524, 5916, 6409, 12818, 19227, 25636, 38454, 76908.
What is 76908 in binary?
10010110001101100 (hexadecimal 12C6C, octal 226154).
What is the square root of 76908?
About 277.3229, exactly 2√19227.
Is 76908 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 76908?
76908 is a happy number: repeatedly adding the squares of its digits reaches 1.