The number 32872
32872 is a composite number with 16 divisors. Its prime factorisation is × 7 × 587. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 56, 587, 1174, 2348, 4109, 4696, 8218, 16436, 32872.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32872: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
32872 is composite. Its prime factorisation is
- 3
The divisors add up to 70560; without 32872 itself that is 37688, so 32872 is abundant (37688 is more than 32872). Euler's totient φ(32872) = 14064 numbers up to 32872 share no factor with it.
- 4
The digits of 32872 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32872 = 2^{3} \times 7 \times 587 \]32872 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 70560 |
| Euler totient φ(n) | 14064 |
| Square | 1080568384 |
| Cube | 35520443918848 |
| Square root | 181.306371 (= 2√8218) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.2872 × |
32872 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand eight hundred and seventy-two |
| Binary (base 2) | 1000000001101000 |
| Octal (base 8) | 100150 |
| Hexadecimal (base 16) | 8068 |
| Base 3 | 1200002111 |
| As time | 32872 seconds = 9 h 7 min 52 s |
Is 32872 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32872 ÷ 2 = 16436) | 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 (32872 ÷ 4 = 8218) | 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 | Yes (32872 ÷ 7 = 4696) | 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 (32872 ÷ 8 = 4109) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 4) | 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 32872 a prime number?
No. 32872 = × 7 × 587, so it is divisible by 2.
What are the factors of 32872?
1, 2, 4, 7, 8, 14, 28, 56, 587, 1174, 2348, 4109, 4696, 8218, 16436, 32872.
What is 32872 in binary?
1000000001101000 (hexadecimal 8068, octal 100150).
What is the square root of 32872?
About 181.3064, exactly 2√8218.
Is 32872 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 32872?
32872 is a happy number: repeatedly adding the squares of its digits reaches 1.