The number 71376
71376 is a composite number with 20 divisors. Its prime factorisation is × 3 × 1487. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1487, 2974, 4461, 5948, 8922, 11896 … 71376.
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How to work it out
- 1
What is special about 71376: a Harshad number: divisible by its digit sum 24.
- 2
71376 is composite. Its prime factorisation is
- 3
The divisors add up to 184512; without 71376 itself that is 113136, so 71376 is abundant (113136 is more than 71376). Euler's totient φ(71376) = 23776 numbers up to 71376 share no factor with it.
- 4
The digits of 71376 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 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71376 = 2^{4} \times 3 \times 1487 \]71376 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 184512 |
| Euler totient φ(n) | 23776 |
| Square | 5094533376 |
| Cube | 363627414245376 |
| Square root | 267.162872 (= 4√4461) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 99 |
| Scientific notation | 7.1376 × |
71376 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand three hundred and seventy-six |
| Binary (base 2) | 10001011011010000 |
| Octal (base 8) | 213320 |
| Hexadecimal (base 16) | 116D0 |
| Base 3 | 10121220120 |
| As time | 71376 seconds = 19 h 49 min 36 s |
Is 71376 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71376 ÷ 2 = 35688) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (71376 ÷ 3 = 23792) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (71376 ÷ 4 = 17844) | 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 | Yes (71376 ÷ 6 = 11896) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (71376 ÷ 8 = 8922) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (71376 ÷ 12 = 5948) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71376 a prime number?
No. 71376 = × 3 × 1487, so it is divisible by 2.
What are the factors of 71376?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1487, 2974, 4461, 5948, 8922, 11896, 17844, 23792, 35688, 71376.
What is 71376 in binary?
10001011011010000 (hexadecimal 116D0, octal 213320).
What is the square root of 71376?
About 267.1629, exactly 4√4461.
Is 71376 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 71376?
71376 is a Harshad number: divisible by its digit sum 24.