The number 77608
77608 is a composite number with 16 divisors. Its prime factorisation is × 89 × 109. Divisors (16): 1, 2, 4, 8, 89, 109, 178, 218, 356, 436, 712, 872, 9701, 19402, 38804, 77608.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77608 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77608 is composite. Its prime factorisation is
- 3
The divisors add up to 148500; without 77608 itself that is 70892, so 77608 is deficient (70892 is less than 77608). Euler's totient φ(77608) = 38016 numbers up to 77608 share no factor with it.
- 4
The digits of 77608 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77608 = 2^{3} \times 89 \times 109 \]77608 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 148500 |
| Euler totient φ(n) | 38016 |
| Square | 6023001664 |
| Cube | 467433113139712 |
| Square root | 278.582124 (= 2√19402) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.7608 × |
77608 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand six hundred and eight |
| Binary (base 2) | 10010111100101000 |
| Octal (base 8) | 227450 |
| Hexadecimal (base 16) | 12F28 |
| Base 3 | 10221110101 |
| As time | 77608 seconds = 21 h 33 min 28 s |
Is 77608 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77608 ÷ 2 = 38804) | 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 (77608 ÷ 4 = 19402) | 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 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 | Yes (77608 ÷ 8 = 9701) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 3) | 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 77608 a prime number?
No. 77608 = × 89 × 109, so it is divisible by 2.
What are the factors of 77608?
1, 2, 4, 8, 89, 109, 178, 218, 356, 436, 712, 872, 9701, 19402, 38804, 77608.
What is 77608 in binary?
10010111100101000 (hexadecimal 12F28, octal 227450).
What is the square root of 77608?
About 278.5821, exactly 2√19402.
Is 77608 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 77608?
It is a composite number with 16 divisors.