The number 32172
32172 is a composite number with 24 divisors. Its prime factorisation is × 3 × 7 × 383. Divisors (24): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 383, 766, 1149, 1532 … 32172.
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How to work it out
- 1
32172 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32172 is composite. Its prime factorisation is
- 3
The divisors add up to 86016; without 32172 itself that is 53844, so 32172 is abundant (53844 is more than 32172). Euler's totient φ(32172) = 9168 numbers up to 32172 share no factor with it.
- 4
The digits of 32172 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32172 = 2^{2} \times 3 \times 7 \times 383 \]32172 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 86016 |
| Euler totient φ(n) | 9168 |
| Square | 1035037584 |
| Cube | 33299229152448 |
| Square root | 179.365549 (= 2√8043) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.2172 × |
32172 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand one hundred and seventy-two |
| Binary (base 2) | 111110110101100 |
| Octal (base 8) | 76654 |
| Hexadecimal (base 16) | 7DAC |
| Base 3 | 1122010120 |
| As time | 32172 seconds = 8 h 56 min 12 s |
Is 32172 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32172 ÷ 2 = 16086) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (32172 ÷ 3 = 10724) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (32172 ÷ 4 = 8043) | 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 (32172 ÷ 6 = 5362) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (32172 ÷ 7 = 4596) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (32172 ÷ 12 = 2681) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32172 a prime number?
No. 32172 = × 3 × 7 × 383, so it is divisible by 2.
What are the factors of 32172?
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 383, 766, 1149, 1532, 2298, 2681, 4596, 5362, 8043, 10724, 16086, 32172.
What is 32172 in binary?
111110110101100 (hexadecimal 7DAC, octal 76654).
What is the square root of 32172?
About 179.3655, exactly 2√8043.
Is 32172 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 32172?
It is a composite number with 24 divisors.