The number 9372
9372 is a composite number with 24 divisors. Its prime factorisation is × 3 × 11 × 71. Divisors (24): 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 71, 132, 142, 213, 284 … 9372.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9372 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9372 is composite. Its prime factorisation is
- 3
The divisors add up to 24192; without 9372 itself that is 14820, so 9372 is abundant (14820 is more than 9372). Euler's totient φ(9372) = 2800 numbers up to 9372 share no factor with it.
- 4
The digits of 9372 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 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9372 = 2^{2} \times 3 \times 11 \times 71 \]9372 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 24192 |
| Euler totient φ(n) | 2800 |
| Square | 87834384 |
| Cube | 823183846848 |
| Square root | 96.809090 (= 2√2343) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 153 |
| Scientific notation | 9.372 × |
9372 in other forms
| Form | Value |
|---|---|
| In words | nine thousand three hundred and seventy-two |
| Binary (base 2) | 10010010011100 |
| Octal (base 8) | 22234 |
| Hexadecimal (base 16) | 249C |
| Base 3 | 110212010 |
| As time | 9372 seconds = 2 h 36 min 12 s |
Is 9372 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9372 ÷ 2 = 4686) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9372 ÷ 3 = 3124) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9372 ÷ 4 = 2343) | 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 (9372 ÷ 6 = 1562) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (9372 ÷ 11 = 852) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (9372 ÷ 12 = 781) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9372 a prime number?
No. 9372 = × 3 × 11 × 71, so it is divisible by 2.
What are the factors of 9372?
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 71, 132, 142, 213, 284, 426, 781, 852, 1562, 2343, 3124, 4686, 9372.
What is 9372 in binary?
10010010011100 (hexadecimal 249C, octal 22234).
What is the square root of 9372?
About 96.8091, exactly 2√2343.
Is 9372 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 9372?
It is a composite number with 24 divisors.