The number 77672
77672 is a composite number with 32 divisors. Its prime factorisation is × 7 × 19 × 73. Divisors (32): 1, 2, 4, 7, 8, 14, 19, 28, 38, 56, 73, 76, 133, 146, 152, 266 … 77672.
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How to work it out
- 1
77672 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77672 is composite. Its prime factorisation is
- 3
The divisors add up to 177600; without 77672 itself that is 99928, so 77672 is abundant (99928 is more than 77672). Euler's totient φ(77672) = 31104 numbers up to 77672 share no factor with it.
- 4
The digits of 77672 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77672 = 2^{3} \times 7 \times 19 \times 73 \]77672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 177600 |
| Euler totient φ(n) | 31104 |
| Square | 6032939584 |
| Cube | 468590483368448 |
| Square root | 278.696968 (= 2√19418) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.7672 × |
77672 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand six hundred and seventy-two |
| Binary (base 2) | 10010111101101000 |
| Octal (base 8) | 227550 |
| Hexadecimal (base 16) | 12F68 |
| Base 3 | 10221112202 |
| As time | 77672 seconds = 21 h 34 min 32 s |
Is 77672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77672 ÷ 2 = 38836) | 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 (77672 ÷ 4 = 19418) | 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 | Yes (77672 ÷ 7 = 11096) | 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 (77672 ÷ 8 = 9709) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 1) | 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 77672 a prime number?
No. 77672 = × 7 × 19 × 73, so it is divisible by 2.
What are the factors of 77672?
1, 2, 4, 7, 8, 14, 19, 28, 38, 56, 73, 76, 133, 146, 152, 266, 292, 511, 532, 584, 1022, 1064, 1387, 2044, 2774, 4088, 5548, 9709, 11096, 19418, 38836, 77672.
What is 77672 in binary?
10010111101101000 (hexadecimal 12F68, octal 227550).
What is the square root of 77672?
About 278.6970, exactly 2√19418.
Is 77672 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 77672?
It is a composite number with 32 divisors.