The number 77061
77061 is a composite number with 8 divisors. Its prime factorisation is 3 × 17 × 1511. Divisors (8): 1, 3, 17, 51, 1511, 4533, 25687, 77061.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77061 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77061 is composite. Its prime factorisation is
- 3
The divisors add up to 108864; without 77061 itself that is 31803, so 77061 is deficient (31803 is less than 77061). Euler's totient φ(77061) = 48320 numbers up to 77061 share no factor with it.
- 4
The digits of 77061 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77061 = 3 \times 17 \times 1511 \]
77061 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 108864 |
| Euler totient φ(n) | 48320 |
| Square | 5938397721 |
| Cube | 457618866777981 |
| Square root | 277.598631 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.7061 × |
77061 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand and sixty-one |
| Binary (base 2) | 10010110100000101 |
| Octal (base 8) | 226405 |
| Hexadecimal (base 16) | 12D05 |
| Base 3 | 10220201010 |
| As time | 77061 seconds = 21 h 24 min 21 s |
Is 77061 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (77061 ÷ 3 = 25687) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 5) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77061 a prime number?
No. 77061 = 3 × 17 × 1511, so it is divisible by 3.
What are the factors of 77061?
1, 3, 17, 51, 1511, 4533, 25687, 77061.
What is 77061 in binary?
10010110100000101 (hexadecimal 12D05, octal 226405).
What is the square root of 77061?
About 277.5986.
Is 77061 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 77061?
It is a composite number with 8 divisors.