The number 8372
8372 is a composite number with 24 divisors. Its prime factorisation is × 7 × 13 × 23. Divisors (24): 1, 2, 4, 7, 13, 14, 23, 26, 28, 46, 52, 91, 92, 161, 182, 299 … 8372.
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How to work it out
- 1
8372 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8372 is composite. Its prime factorisation is
- 3
The divisors add up to 18816; without 8372 itself that is 10444, so 8372 is abundant (10444 is more than 8372). Euler's totient φ(8372) = 3168 numbers up to 8372 share no factor with it.
- 4
The digits of 8372 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8372 = 2^{2} \times 7 \times 13 \times 23 \]8372 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 18816 |
| Euler totient φ(n) | 3168 |
| Square | 70090384 |
| Cube | 586796694848 |
| Square root | 91.498634 (= 2√2093) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 127 |
| Scientific notation | 8.372 × |
8372 in other forms
| Form | Value |
|---|---|
| In words | eight thousand three hundred and seventy-two |
| Binary (base 2) | 10000010110100 |
| Octal (base 8) | 20264 |
| Hexadecimal (base 16) | 20B4 |
| Base 3 | 102111002 |
| As time | 8372 seconds = 2 h 19 min 32 s |
Is 8372 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8372 ÷ 2 = 4186) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (8372 ÷ 4 = 2093) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (8372 ÷ 7 = 1196) | 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 2) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8372 a prime number?
No. 8372 = × 7 × 13 × 23, so it is divisible by 2.
What are the factors of 8372?
1, 2, 4, 7, 13, 14, 23, 26, 28, 46, 52, 91, 92, 161, 182, 299, 322, 364, 598, 644, 1196, 2093, 4186, 8372.
What is 8372 in binary?
10000010110100 (hexadecimal 20B4, octal 20264).
What is the square root of 8372?
About 91.4986, exactly 2√2093.
Is 8372 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 8372?
It is a composite number with 24 divisors.