The number 77172
77172 is a composite number with 24 divisors. Its prime factorisation is × 3 × 59 × 109. Divisors (24): 1, 2, 3, 4, 6, 12, 59, 109, 118, 177, 218, 236, 327, 354, 436, 654 … 77172.
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How to work it out
- 1
77172 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77172 is composite. Its prime factorisation is
- 3
The divisors add up to 184800; without 77172 itself that is 107628, so 77172 is abundant (107628 is more than 77172). Euler's totient φ(77172) = 25056 numbers up to 77172 share no factor with it.
- 4
The digits of 77172 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77172 = 2^{2} \times 3 \times 59 \times 109 \]77172 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 184800 |
| Euler totient φ(n) | 25056 |
| Square | 5955517584 |
| Cube | 459599202992448 |
| Square root | 277.798488 (= 2√19293) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.7172 × |
77172 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand one hundred and seventy-two |
| Binary (base 2) | 10010110101110100 |
| Octal (base 8) | 226564 |
| Hexadecimal (base 16) | 12D74 |
| Base 3 | 10220212020 |
| As time | 77172 seconds = 21 h 26 min 12 s |
Is 77172 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77172 ÷ 2 = 38586) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (77172 ÷ 3 = 25724) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (77172 ÷ 4 = 19293) | 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 | Yes (77172 ÷ 6 = 12862) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | Yes (77172 ÷ 12 = 6431) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77172 a prime number?
No. 77172 = × 3 × 59 × 109, so it is divisible by 2.
What are the factors of 77172?
1, 2, 3, 4, 6, 12, 59, 109, 118, 177, 218, 236, 327, 354, 436, 654, 708, 1308, 6431, 12862, 19293, 25724, 38586, 77172.
What is 77172 in binary?
10010110101110100 (hexadecimal 12D74, octal 226564).
What is the square root of 77172?
About 277.7985, exactly 2√19293.
Is 77172 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 77172?
It is a composite number with 24 divisors.