The number 71380
71380 is a composite number with 24 divisors. Its prime factorisation is × 5 × 43 × 83. Divisors (24): 1, 2, 4, 5, 10, 20, 43, 83, 86, 166, 172, 215, 332, 415, 430, 830 … 71380.
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How to work it out
- 1
71380 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
71380 is composite. Its prime factorisation is
- 3
The divisors add up to 155232; without 71380 itself that is 83852, so 71380 is abundant (83852 is more than 71380). Euler's totient φ(71380) = 27552 numbers up to 71380 share no factor with it.
- 4
The digits of 71380 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71380 = 2^{2} \times 5 \times 43 \times 83 \]71380 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 155232 |
| Euler totient φ(n) | 27552 |
| Square | 5095104400 |
| Cube | 363688552072000 |
| Square root | 267.170358 (= 2√17845) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 99 |
| Scientific notation | 7.138 × |
71380 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand three hundred and eighty |
| Binary (base 2) | 10001011011010100 |
| Octal (base 8) | 213324 |
| Hexadecimal (base 16) | 116D4 |
| Base 3 | 10121220201 |
| As time | 71380 seconds = 19 h 49 min 40 s |
Is 71380 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71380 ÷ 2 = 35690) | 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 | Yes (71380 ÷ 4 = 17845) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (71380 ÷ 5 = 14276) | 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 1) | 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 4) | 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 | Yes (71380 ÷ 10 = 7138) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71380 a prime number?
No. 71380 = × 5 × 43 × 83, so it is divisible by 2.
What are the factors of 71380?
1, 2, 4, 5, 10, 20, 43, 83, 86, 166, 172, 215, 332, 415, 430, 830, 860, 1660, 3569, 7138, 14276, 17845, 35690, 71380.
What is 71380 in binary?
10001011011010100 (hexadecimal 116D4, octal 213324).
What is the square root of 71380?
About 267.1704, exactly 2√17845.
Is 71380 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 71380?
It is a composite number with 24 divisors.