The number 77072
77072 is a composite number with 10 divisors. Its prime factorisation is × 4817. Divisors (10): 1, 2, 4, 8, 16, 4817, 9634, 19268, 38536, 77072.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77072 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77072 is composite. Its prime factorisation is
- 3
The divisors add up to 149358; without 77072 itself that is 72286, so 77072 is deficient (72286 is less than 77072). Euler's totient φ(77072) = 38528 numbers up to 77072 share no factor with it.
- 4
The digits of 77072 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77072 = 2^{4} \times 4817 \]77072 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 149358 |
| Euler totient φ(n) | 38528 |
| Square | 5940093184 |
| Cube | 457814861877248 |
| Square root | 277.618443 (= 4√4817) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.7072 × |
77072 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand and seventy-two |
| Binary (base 2) | 10010110100010000 |
| Octal (base 8) | 226420 |
| Hexadecimal (base 16) | 12D10 |
| Base 3 | 10220201112 |
| As time | 77072 seconds = 21 h 24 min 32 s |
Is 77072 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77072 ÷ 2 = 38536) | 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 (77072 ÷ 4 = 19268) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 | Yes (77072 ÷ 8 = 9634) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77072 a prime number?
No. 77072 = × 4817, so it is divisible by 2.
What are the factors of 77072?
1, 2, 4, 8, 16, 4817, 9634, 19268, 38536, 77072.
What is 77072 in binary?
10010110100010000 (hexadecimal 12D10, octal 226420).
What is the square root of 77072?
About 277.6184, exactly 4√4817.
Is 77072 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 77072?
It is a composite number with 10 divisors.