The number 76738
76738 is a composite number with 16 divisors. Its prime factorisation is 2 × 17 × 37 × 61. Divisors (16): 1, 2, 17, 34, 37, 61, 74, 122, 629, 1037, 1258, 2074, 2257, 4514, 38369, 76738.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
76738 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
76738 is composite. Its prime factorisation is
- 3
The divisors add up to 127224; without 76738 itself that is 50486, so 76738 is deficient (50486 is less than 76738). Euler's totient φ(76738) = 34560 numbers up to 76738 share no factor with it.
- 4
The digits of 76738 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 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76738 = 2 \times 17 \times 37 \times 61 \]
76738 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 127224 |
| Euler totient φ(n) | 34560 |
| Square | 5888720644 |
| Cube | 451888644779272 |
| Square root | 277.016245 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.6738 × |
76738 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand seven hundred and thirty-eight |
| Binary (base 2) | 10010101111000010 |
| Octal (base 8) | 225702 |
| Hexadecimal (base 16) | 12BC2 |
| Base 3 | 10220021011 |
| As time | 76738 seconds = 21 h 18 min 58 s |
Is 76738 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76738 ÷ 2 = 38369) | 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 | No (remainder 2) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 2) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76738 a prime number?
No. 76738 = 2 × 17 × 37 × 61, so it is divisible by 2.
What are the factors of 76738?
1, 2, 17, 34, 37, 61, 74, 122, 629, 1037, 1258, 2074, 2257, 4514, 38369, 76738.
What is 76738 in binary?
10010101111000010 (hexadecimal 12BC2, octal 225702).
What is the square root of 76738?
About 277.0162.
Is 76738 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 76738?
It is a composite number with 16 divisors.