The number 8472
8472 is a composite number with 16 divisors. Its prime factorisation is × 3 × 353. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 353, 706, 1059, 1412, 2118, 2824, 4236, 8472.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8472: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
8472 is composite. Its prime factorisation is
- 3
The divisors add up to 21240; without 8472 itself that is 12768, so 8472 is abundant (12768 is more than 8472). Euler's totient φ(8472) = 2816 numbers up to 8472 share no factor with it.
- 4
The digits of 8472 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 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8472 = 2^{3} \times 3 \times 353 \]8472 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 21240 |
| Euler totient φ(n) | 2816 |
| Square | 71774784 |
| Cube | 608075970048 |
| Square root | 92.043468 (= 2√2118) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 34 |
| Scientific notation | 8.472 × |
8472 in other forms
| Form | Value |
|---|---|
| In words | eight thousand four hundred and seventy-two |
| Binary (base 2) | 10000100011000 |
| Octal (base 8) | 20430 |
| Hexadecimal (base 16) | 2118 |
| Base 3 | 102121210 |
| As time | 8472 seconds = 2 h 21 min 12 s |
Is 8472 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8472 ÷ 2 = 4236) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8472 ÷ 3 = 2824) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (8472 ÷ 4 = 2118) | 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 (8472 ÷ 6 = 1412) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (8472 ÷ 8 = 1059) | 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 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (8472 ÷ 12 = 706) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8472 a prime number?
No. 8472 = × 3 × 353, so it is divisible by 2.
What are the factors of 8472?
1, 2, 3, 4, 6, 8, 12, 24, 353, 706, 1059, 1412, 2118, 2824, 4236, 8472.
What is 8472 in binary?
10000100011000 (hexadecimal 2118, octal 20430).
What is the square root of 8472?
About 92.0435, exactly 2√2118.
Is 8472 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 8472?
8472 is a happy number: repeatedly adding the squares of its digits reaches 1.