The number 77008
77008 is a composite number with 10 divisors. Its prime factorisation is × 4813. Divisors (10): 1, 2, 4, 8, 16, 4813, 9626, 19252, 38504, 77008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77008 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77008 is composite. Its prime factorisation is
- 3
The divisors add up to 149234; without 77008 itself that is 72226, so 77008 is deficient (72226 is less than 77008). Euler's totient φ(77008) = 38496 numbers up to 77008 share no factor with it.
- 4
The digits of 77008 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77008 = 2^{4} \times 4813 \]77008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 149234 |
| Euler totient φ(n) | 38496 |
| Square | 5930232064 |
| Cube | 456675310784512 |
| Square root | 277.503153 (= 4√4813) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.7008 × |
77008 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand and eight |
| Binary (base 2) | 10010110011010000 |
| Octal (base 8) | 226320 |
| Hexadecimal (base 16) | 12CD0 |
| Base 3 | 10220122011 |
| As time | 77008 seconds = 21 h 23 min 28 s |
Is 77008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77008 ÷ 2 = 38504) | 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 (77008 ÷ 4 = 19252) | 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 1) | 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 | Yes (77008 ÷ 8 = 9626) | 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 8) | 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 77008 a prime number?
No. 77008 = × 4813, so it is divisible by 2.
What are the factors of 77008?
1, 2, 4, 8, 16, 4813, 9626, 19252, 38504, 77008.
What is 77008 in binary?
10010110011010000 (hexadecimal 12CD0, octal 226320).
What is the square root of 77008?
About 277.5032, exactly 4√4813.
Is 77008 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 77008?
It is a composite number with 10 divisors.