The number 38870
38870 is a composite number with 24 divisors. Its prime factorisation is 2 × 5 × × 23. Divisors (24): 1, 2, 5, 10, 13, 23, 26, 46, 65, 115, 130, 169, 230, 299, 338, 598 … 38870.
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How to work it out
- 1
What is special about 38870: a Harshad number: divisible by its digit sum 26.
- 2
38870 is composite. Its prime factorisation is
- 3
The divisors add up to 79056; without 38870 itself that is 40186, so 38870 is abundant (40186 is more than 38870). Euler's totient φ(38870) = 13728 numbers up to 38870 share no factor with it.
- 4
The digits of 38870 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 124 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38870 = 2 \times 5 \times 13^{2} \times 23 \]38870 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 79056 |
| Euler totient φ(n) | 13728 |
| Square | 1510876900 |
| Cube | 58727785103000 |
| Square root | 197.154762 (= 13√230) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 124 |
| Scientific notation | 3.887 × |
38870 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand eight hundred and seventy |
| Binary (base 2) | 1001011111010110 |
| Octal (base 8) | 113726 |
| Hexadecimal (base 16) | 97D6 |
| Base 3 | 1222022122 |
| As time | 38870 seconds = 10 h 47 min 50 s |
Is 38870 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38870 ÷ 2 = 19435) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 | Yes (38870 ÷ 5 = 7774) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (38870 ÷ 10 = 3887) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38870 a prime number?
No. 38870 = 2 × 5 × × 23, so it is divisible by 2.
What are the factors of 38870?
1, 2, 5, 10, 13, 23, 26, 46, 65, 115, 130, 169, 230, 299, 338, 598, 845, 1495, 1690, 2990, 3887, 7774, 19435, 38870.
What is 38870 in binary?
1001011111010110 (hexadecimal 97D6, octal 113726).
What is the square root of 38870?
About 197.1548, exactly 13√230.
Is 38870 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 38870?
38870 is a Harshad number: divisible by its digit sum 26.