The number 77272
77272 is a composite number with 16 divisors. Its prime factorisation is × 13 × 743. Divisors (16): 1, 2, 4, 8, 13, 26, 52, 104, 743, 1486, 2972, 5944, 9659, 19318, 38636, 77272.
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How to work it out
- 1
77272 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77272 is composite. Its prime factorisation is
- 3
The divisors add up to 156240; without 77272 itself that is 78968, so 77272 is abundant (78968 is more than 77272). Euler's totient φ(77272) = 35616 numbers up to 77272 share no factor with it.
- 4
The digits of 77272 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77272 = 2^{3} \times 13 \times 743 \]77272 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 156240 |
| Euler totient φ(n) | 35616 |
| Square | 5970961984 |
| Cube | 461388174427648 |
| Square root | 277.978416 (= 2√19318) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.7272 × |
77272 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand two hundred and seventy-two |
| Binary (base 2) | 10010110111011000 |
| Octal (base 8) | 226730 |
| Hexadecimal (base 16) | 12DD8 |
| Base 3 | 10220222221 |
| As time | 77272 seconds = 21 h 27 min 52 s |
Is 77272 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77272 ÷ 2 = 38636) | 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 (77272 ÷ 4 = 19318) | 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 6) | 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 (77272 ÷ 8 = 9659) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 8) | 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 77272 a prime number?
No. 77272 = × 13 × 743, so it is divisible by 2.
What are the factors of 77272?
1, 2, 4, 8, 13, 26, 52, 104, 743, 1486, 2972, 5944, 9659, 19318, 38636, 77272.
What is 77272 in binary?
10010110111011000 (hexadecimal 12DD8, octal 226730).
What is the square root of 77272?
About 277.9784, exactly 2√19318.
Is 77272 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 77272?
It is a composite number with 16 divisors.