The number 74871
74871 is a composite number with 16 divisors. Its prime factorisation is × 47 × 59. Divisors (16): 1, 3, 9, 27, 47, 59, 141, 177, 423, 531, 1269, 1593, 2773, 8319, 24957, 74871.
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How to work it out
- 1
What is special about 74871: a Harshad number: divisible by its digit sum 27.
- 2
74871 is composite. Its prime factorisation is
- 3
The divisors add up to 115200; without 74871 itself that is 40329, so 74871 is deficient (40329 is less than 74871). Euler's totient φ(74871) = 48024 numbers up to 74871 share no factor with it.
- 4
The digits of 74871 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74871 = 3^{3} \times 47 \times 59 \]74871 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 115200 |
| Euler totient φ(n) | 48024 |
| Square | 5605666641 |
| Cube | 419701867078311 |
| Square root | 273.625657 (= 3√8319) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.4871 × |
74871 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand eight hundred and seventy-one |
| Binary (base 2) | 10010010001110111 |
| Octal (base 8) | 222167 |
| Hexadecimal (base 16) | 12477 |
| Base 3 | 10210201000 |
| As time | 74871 seconds = 20 h 47 min 51 s |
Is 74871 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 | Yes (74871 ÷ 3 = 24957) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (74871 ÷ 9 = 8319) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74871 a prime number?
No. 74871 = × 47 × 59, so it is divisible by 3.
What are the factors of 74871?
1, 3, 9, 27, 47, 59, 141, 177, 423, 531, 1269, 1593, 2773, 8319, 24957, 74871.
What is 74871 in binary?
10010010001110111 (hexadecimal 12477, octal 222167).
What is the square root of 74871?
About 273.6257, exactly 3√8319.
Is 74871 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 74871?
74871 is a Harshad number: divisible by its digit sum 27.