The number 38472
38472 is a composite number with 32 divisors. Its prime factorisation is × 3 × 7 × 229. Divisors (32): 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168 … 38472.
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How to work it out
- 1
What is special about 38472: a Harshad number: divisible by its digit sum 24.
- 2
38472 is composite. Its prime factorisation is
- 3
The divisors add up to 110400; without 38472 itself that is 71928, so 38472 is abundant (71928 is more than 38472). Euler's totient φ(38472) = 10944 numbers up to 38472 share no factor with it.
- 4
The digits of 38472 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 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38472 = 2^{3} \times 3 \times 7 \times 229 \]38472 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 110400 |
| Euler totient φ(n) | 10944 |
| Square | 1480094784 |
| Cube | 56942206530048 |
| Square root | 196.142805 (= 2√9618) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.8472 × |
38472 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand four hundred and seventy-two |
| Binary (base 2) | 1001011001001000 |
| Octal (base 8) | 113110 |
| Hexadecimal (base 16) | 9648 |
| Base 3 | 1221202220 |
| As time | 38472 seconds = 10 h 41 min 12 s |
Is 38472 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38472 ÷ 2 = 19236) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38472 ÷ 3 = 12824) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (38472 ÷ 4 = 9618) | 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 (38472 ÷ 6 = 6412) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (38472 ÷ 7 = 5496) | 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 (38472 ÷ 8 = 4809) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (38472 ÷ 12 = 3206) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38472 a prime number?
No. 38472 = × 3 × 7 × 229, so it is divisible by 2.
What are the factors of 38472?
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 229, 458, 687, 916, 1374, 1603, 1832, 2748, 3206, 4809, 5496, 6412, 9618, 12824, 19236, 38472.
What is 38472 in binary?
1001011001001000 (hexadecimal 9648, octal 113110).
What is the square root of 38472?
About 196.1428, exactly 2√9618.
Is 38472 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 38472?
38472 is a Harshad number: divisible by its digit sum 24.