The number 76988
76988 is a composite number with 12 divisors. Its prime factorisation is × 19 × 1013. Divisors (12): 1, 2, 4, 19, 38, 76, 1013, 2026, 4052, 19247, 38494, 76988.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 76988: a Harshad number: divisible by its digit sum 38.
- 2
76988 is composite. Its prime factorisation is
- 3
The divisors add up to 141960; without 76988 itself that is 64972, so 76988 is deficient (64972 is less than 76988). Euler's totient φ(76988) = 36432 numbers up to 76988 share no factor with it.
- 4
The digits of 76988 add up to 38, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76988 = 2^{2} \times 19 \times 1013 \]76988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 141960 |
| Euler totient φ(n) | 36432 |
| Square | 5927152144 |
| Cube | 456319589262272 |
| Square root | 277.467115 (= 2√19247) |
| Digit sum / digital root | 38 / 2 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.6988 × |
76988 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand nine hundred and eighty-eight |
| Binary (base 2) | 10010110010111100 |
| Octal (base 8) | 226274 |
| Hexadecimal (base 16) | 12CBC |
| Base 3 | 10220121102 |
| As time | 76988 seconds = 21 h 23 min 8 s |
Is 76988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76988 ÷ 2 = 38494) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (76988 ÷ 4 = 19247) | 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 2) | 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 2) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76988 a prime number?
No. 76988 = × 19 × 1013, so it is divisible by 2.
What are the factors of 76988?
1, 2, 4, 19, 38, 76, 1013, 2026, 4052, 19247, 38494, 76988.
What is 76988 in binary?
10010110010111100 (hexadecimal 12CBC, octal 226274).
What is the square root of 76988?
About 277.4671, exactly 2√19247.
Is 76988 divisible by 3?
No. Its digits add up to 38, which is not a multiple of 3.
What is special about the number 76988?
76988 is a Harshad number: divisible by its digit sum 38.