The number 77242
77242 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 3511. Divisors (8): 1, 2, 11, 22, 3511, 7022, 38621, 77242.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77242: a Harshad number: divisible by its digit sum 22.
- 2
77242 is composite. Its prime factorisation is
- 3
The divisors add up to 126432; without 77242 itself that is 49190, so 77242 is deficient (49190 is less than 77242). Euler's totient φ(77242) = 35100 numbers up to 77242 share no factor with it.
- 4
The digits of 77242 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77242 = 2 \times 11 \times 3511 \]
77242 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 126432 |
| Euler totient φ(n) | 35100 |
| Square | 5966326564 |
| Cube | 460850996456488 |
| Square root | 277.924450 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 107 |
| Scientific notation | 7.7242 × |
77242 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand two hundred and forty-two |
| Binary (base 2) | 10010110110111010 |
| Octal (base 8) | 226672 |
| Hexadecimal (base 16) | 12DBA |
| Base 3 | 10220221211 |
| As time | 77242 seconds = 21 h 27 min 22 s |
Is 77242 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77242 ÷ 2 = 38621) | 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 | 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 | No (remainder 4) | 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 4) | 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 | Yes (77242 ÷ 11 = 7022) | 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 77242 a prime number?
No. 77242 = 2 × 11 × 3511, so it is divisible by 2.
What are the factors of 77242?
1, 2, 11, 22, 3511, 7022, 38621, 77242.
What is 77242 in binary?
10010110110111010 (hexadecimal 12DBA, octal 226672).
What is the square root of 77242?
About 277.9245.
Is 77242 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 77242?
77242 is a Harshad number: divisible by its digit sum 22.