The number 77274
77274 is a composite number with 28 divisors. Its prime factorisation is 2 × × 53. Divisors (28): 1, 2, 3, 6, 9, 18, 27, 53, 54, 81, 106, 159, 162, 243, 318, 477 … 77274.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77274: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.
- 2
77274 is composite. Its prime factorisation is
- 3
The divisors add up to 177066; without 77274 itself that is 99792, so 77274 is abundant (99792 is more than 77274). Euler's totient φ(77274) = 25272 numbers up to 77274 share no factor with it.
- 4
The digits of 77274 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77274 = 2 \times 3^{6} \times 53 \]77274 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 177066 |
| Euler totient φ(n) | 25272 |
| Square | 5971271076 |
| Cube | 461424001126824 |
| Square root | 277.982014 (= 27√106) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.7274 × |
77274 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand two hundred and seventy-four |
| Binary (base 2) | 10010110111011010 |
| Octal (base 8) | 226732 |
| Hexadecimal (base 16) | 12DDA |
| Base 3 | 10221000000 |
| As time | 77274 seconds = 21 h 27 min 54 s |
Is 77274 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77274 ÷ 2 = 38637) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (77274 ÷ 3 = 25758) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (77274 ÷ 6 = 12879) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (77274 ÷ 9 = 8586) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77274 a prime number?
No. 77274 = 2 × × 53, so it is divisible by 2.
What are the factors of 77274?
1, 2, 3, 6, 9, 18, 27, 53, 54, 81, 106, 159, 162, 243, 318, 477, 486, 729, 954, 1431, 1458, 2862, 4293, 8586, 12879, 25758, 38637, 77274.
What is 77274 in binary?
10010110111011010 (hexadecimal 12DDA, octal 226732).
What is the square root of 77274?
About 277.9820, exactly 27√106.
Is 77274 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 77274?
77274 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.