The number 83172
83172 is a composite number with 24 divisors. Its prime factorisation is × 3 × 29 × 239. Divisors (24): 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 239, 348, 478, 717, 956 … 83172.
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How to work it out
- 1
83172 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83172 is composite. Its prime factorisation is
- 3
The divisors add up to 201600; without 83172 itself that is 118428, so 83172 is abundant (118428 is more than 83172). Euler's totient φ(83172) = 26656 numbers up to 83172 share no factor with it.
- 4
The digits of 83172 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 226 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83172 = 2^{2} \times 3 \times 29 \times 239 \]83172 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 201600 |
| Euler totient φ(n) | 26656 |
| Square | 6917581584 |
| Cube | 575349095504448 |
| Square root | 288.395562 (= 2√20793) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 226 |
| Scientific notation | 8.3172 × |
83172 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand one hundred and seventy-two |
| Binary (base 2) | 10100010011100100 |
| Octal (base 8) | 242344 |
| Hexadecimal (base 16) | 144E4 |
| Base 3 | 11020002110 |
| As time | 83172 seconds = 23 h 6 min 12 s |
Is 83172 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83172 ÷ 2 = 41586) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (83172 ÷ 3 = 27724) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (83172 ÷ 4 = 20793) | 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 (83172 ÷ 6 = 13862) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 3) | 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 | Yes (83172 ÷ 12 = 6931) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83172 a prime number?
No. 83172 = × 3 × 29 × 239, so it is divisible by 2.
What are the factors of 83172?
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 239, 348, 478, 717, 956, 1434, 2868, 6931, 13862, 20793, 27724, 41586, 83172.
What is 83172 in binary?
10100010011100100 (hexadecimal 144E4, octal 242344).
What is the square root of 83172?
About 288.3956, exactly 2√20793.
Is 83172 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 83172?
It is a composite number with 24 divisors.