The number 77770
77770 is a composite number with 32 divisors. Its prime factorisation is 2 × 5 × 7 × 11 × 101. Divisors (32): 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 101, 110, 154, 202 … 77770.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77770 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77770 is composite. Its prime factorisation is
- 3
The divisors add up to 176256; without 77770 itself that is 98486, so 77770 is abundant (98486 is more than 77770). Euler's totient φ(77770) = 24000 numbers up to 77770 share no factor with it.
- 4
The digits of 77770 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
\[ 77770 = 2 \times 5 \times 7 \times 11 \times 101 \]
77770 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 176256 |
| Euler totient φ(n) | 24000 |
| Square | 6048172900 |
| Cube | 470366406433000 |
| Square root | 278.872731 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.777 × |
77770 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand seven hundred and seventy |
| Binary (base 2) | 10010111111001010 |
| Octal (base 8) | 227712 |
| Hexadecimal (base 16) | 12FCA |
| Base 3 | 10221200101 |
| As time | 77770 seconds = 21 h 36 min 10 s |
Is 77770 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77770 ÷ 2 = 38885) | 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 | Yes (77770 ÷ 5 = 15554) | 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 | Yes (77770 ÷ 7 = 11110) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (77770 ÷ 10 = 7777) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (77770 ÷ 11 = 7070) | 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 77770 a prime number?
No. 77770 = 2 × 5 × 7 × 11 × 101, so it is divisible by 2.
What are the factors of 77770?
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 101, 110, 154, 202, 385, 505, 707, 770, 1010, 1111, 1414, 2222, 3535, 5555, 7070, 7777, 11110, 15554, 38885, 77770.
What is 77770 in binary?
10010111111001010 (hexadecimal 12FCA, octal 227712).
What is the square root of 77770?
About 278.8727.
Is 77770 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 77770?
It is a composite number with 32 divisors.