The number 38974
38974 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 1499. Divisors (8): 1, 2, 13, 26, 1499, 2998, 19487, 38974.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38974: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
38974 is composite. Its prime factorisation is
- 3
The divisors add up to 63000; without 38974 itself that is 24026, so 38974 is deficient (24026 is less than 38974). Euler's totient φ(38974) = 17976 numbers up to 38974 share no factor with it.
- 4
The digits of 38974 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38974 = 2 \times 13 \times 1499 \]
38974 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 63000 |
| Euler totient φ(n) | 17976 |
| Square | 1518972676 |
| Cube | 59200441074424 |
| Square root | 197.418338 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 168 |
| Scientific notation | 3.8974 × |
38974 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand nine hundred and seventy-four |
| Binary (base 2) | 1001100000111110 |
| Octal (base 8) | 114076 |
| Hexadecimal (base 16) | 983E |
| Base 3 | 1222110111 |
| As time | 38974 seconds = 10 h 49 min 34 s |
Is 38974 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38974 ÷ 2 = 19487) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38974 a prime number?
No. 38974 = 2 × 13 × 1499, so it is divisible by 2.
What are the factors of 38974?
1, 2, 13, 26, 1499, 2998, 19487, 38974.
What is 38974 in binary?
1001100000111110 (hexadecimal 983E, octal 114076).
What is the square root of 38974?
About 197.4183.
Is 38974 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 38974?
38974 is a happy number: repeatedly adding the squares of its digits reaches 1.