The number 38467
38467 is a composite number with 8 divisors. Its prime factorisation is 11 × 13 × 269. Divisors (8): 1, 11, 13, 143, 269, 2959, 3497, 38467.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38467 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38467 is composite. Its prime factorisation is
- 3
The divisors add up to 45360; without 38467 itself that is 6893, so 38467 is deficient (6893 is less than 38467). Euler's totient φ(38467) = 32160 numbers up to 38467 share no factor with it.
- 4
The digits of 38467 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 124 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38467 = 11 \times 13 \times 269 \]
38467 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 45360 |
| Euler totient φ(n) | 32160 |
| Square | 1479710089 |
| Cube | 56920007993563 |
| Square root | 196.130059 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 124 |
| Scientific notation | 3.8467 × |
38467 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand four hundred and sixty-seven |
| Binary (base 2) | 1001011001000011 |
| Octal (base 8) | 113103 |
| Hexadecimal (base 16) | 9643 |
| Base 3 | 1221202201 |
| As time | 38467 seconds = 10 h 41 min 7 s |
Is 38467 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 1) | 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 | No (remainder 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (38467 ÷ 11 = 3497) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38467 a prime number?
No. 38467 = 11 × 13 × 269, so it is divisible by 11.
What are the factors of 38467?
1, 11, 13, 143, 269, 2959, 3497, 38467.
What is 38467 in binary?
1001011001000011 (hexadecimal 9643, octal 113103).
What is the square root of 38467?
About 196.1301.
Is 38467 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 38467?
It is a composite number with 8 divisors.