The number 9672
9672 is a composite number with 32 divisors. Its prime factorisation is × 3 × 13 × 31. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 31, 39, 52, 62, 78, 93 … 9672.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9672: a Harshad number: divisible by its digit sum 24.
- 2
9672 is composite. Its prime factorisation is
- 3
The divisors add up to 26880; without 9672 itself that is 17208, so 9672 is abundant (17208 is more than 9672). Euler's totient φ(9672) = 2880 numbers up to 9672 share no factor with it.
- 4
The digits of 9672 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9672 = 2^{3} \times 3 \times 13 \times 31 \]9672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 26880 |
| Euler totient φ(n) | 2880 |
| Square | 93547584 |
| Cube | 904792232448 |
| Square root | 98.346327 (= 2√2418) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 60 |
| Scientific notation | 9.672 × |
9672 in other forms
| Form | Value |
|---|---|
| In words | nine thousand six hundred and seventy-two |
| Binary (base 2) | 10010111001000 |
| Octal (base 8) | 22710 |
| Hexadecimal (base 16) | 25C8 |
| Base 3 | 111021020 |
| As time | 9672 seconds = 2 h 41 min 12 s |
Is 9672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9672 ÷ 2 = 4836) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9672 ÷ 3 = 3224) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9672 ÷ 4 = 2418) | 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 (9672 ÷ 6 = 1612) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (9672 ÷ 8 = 1209) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (9672 ÷ 12 = 806) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9672 a prime number?
No. 9672 = × 3 × 13 × 31, so it is divisible by 2.
What are the factors of 9672?
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 31, 39, 52, 62, 78, 93, 104, 124, 156, 186, 248, 312, 372, 403, 744, 806, 1209, 1612, 2418, 3224, 4836, 9672.
What is 9672 in binary?
10010111001000 (hexadecimal 25C8, octal 22710).
What is the square root of 9672?
About 98.3463, exactly 2√2418.
Is 9672 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 9672?
9672 is a Harshad number: divisible by its digit sum 24.