The number 28372
28372 is a composite number with 12 divisors. Its prime factorisation is × 41 × 173. Divisors (12): 1, 2, 4, 41, 82, 164, 173, 346, 692, 7093, 14186, 28372.
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How to work it out
- 1
What is special about 28372: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
28372 is composite. Its prime factorisation is
- 3
The divisors add up to 51156; without 28372 itself that is 22784, so 28372 is deficient (22784 is less than 28372). Euler's totient φ(28372) = 13760 numbers up to 28372 share no factor with it.
- 4
The digits of 28372 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 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 28372 = 2^{2} \times 41 \times 173 \]28372 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 51156 |
| Euler totient φ(n) | 13760 |
| Square | 804970384 |
| Cube | 22838619734848 |
| Square root | 168.439900 (= 2√7093) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 59 |
| Scientific notation | 2.8372 × |
28372 in other forms
| Form | Value |
|---|---|
| In words | twenty-eight thousand three hundred and seventy-two |
| Binary (base 2) | 110111011010100 |
| Octal (base 8) | 67324 |
| Hexadecimal (base 16) | 6ED4 |
| Base 3 | 1102220211 |
| As time | 28372 seconds = 7 h 52 min 52 s |
Is 28372 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (28372 ÷ 2 = 14186) | 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 (28372 ÷ 4 = 7093) | 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 | No (remainder 1) | 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 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 3) | 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 28372 a prime number?
No. 28372 = × 41 × 173, so it is divisible by 2.
What are the factors of 28372?
1, 2, 4, 41, 82, 164, 173, 346, 692, 7093, 14186, 28372.
What is 28372 in binary?
110111011010100 (hexadecimal 6ED4, octal 67324).
What is the square root of 28372?
About 168.4399, exactly 2√7093.
Is 28372 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 28372?
28372 is a happy number: repeatedly adding the squares of its digits reaches 1.