The number 77392
77392 is a composite number with 20 divisors. Its prime factorisation is × 7 × 691. Divisors (20): 1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 691, 1382, 2764, 4837, 5528, 9674 … 77392.
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How to work it out
- 1
What is special about 77392: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 28.
- 2
77392 is composite. Its prime factorisation is
- 3
The divisors add up to 171616; without 77392 itself that is 94224, so 77392 is abundant (94224 is more than 77392). Euler's totient φ(77392) = 33120 numbers up to 77392 share no factor with it.
- 4
The digits of 77392 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 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77392 = 2^{4} \times 7 \times 691 \]77392 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 171616 |
| Euler totient φ(n) | 33120 |
| Square | 5989521664 |
| Cube | 463541060620288 |
| Square root | 278.194177 (= 4√4837) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.7392 × |
77392 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand three hundred and ninety-two |
| Binary (base 2) | 10010111001010000 |
| Octal (base 8) | 227120 |
| Hexadecimal (base 16) | 12E50 |
| Base 3 | 10221011101 |
| As time | 77392 seconds = 21 h 29 min 52 s |
Is 77392 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77392 ÷ 2 = 38696) | 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 (77392 ÷ 4 = 19348) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (77392 ÷ 7 = 11056) | 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 (77392 ÷ 8 = 9674) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 77392 a prime number?
No. 77392 = × 7 × 691, so it is divisible by 2.
What are the factors of 77392?
1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 691, 1382, 2764, 4837, 5528, 9674, 11056, 19348, 38696, 77392.
What is 77392 in binary?
10010111001010000 (hexadecimal 12E50, octal 227120).
What is the square root of 77392?
About 278.1942, exactly 4√4837.
Is 77392 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 77392?
77392 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 28.