The number 71740
71740 is a composite number with 24 divisors. Its prime factorisation is × 5 × 17 × 211. Divisors (24): 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 211, 340, 422, 844, 1055 … 71740.
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How to work it out
- 1
71740 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
71740 is composite. Its prime factorisation is
- 3
The divisors add up to 160272; without 71740 itself that is 88532, so 71740 is abundant (88532 is more than 71740). Euler's totient φ(71740) = 26880 numbers up to 71740 share no factor with it.
- 4
The digits of 71740 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 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71740 = 2^{2} \times 5 \times 17 \times 211 \]71740 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 160272 |
| Euler totient φ(n) | 26880 |
| Square | 5146627600 |
| Cube | 369219064024000 |
| Square root | 267.843238 (= 2√17935) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.174 × |
71740 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand seven hundred and forty |
| Binary (base 2) | 10001100000111100 |
| Octal (base 8) | 214074 |
| Hexadecimal (base 16) | 1183C |
| Base 3 | 10122102001 |
| As time | 71740 seconds = 19 h 55 min 40 s |
Is 71740 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71740 ÷ 2 = 35870) | 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 (71740 ÷ 4 = 17935) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (71740 ÷ 5 = 14348) | 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 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 | 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 (71740 ÷ 10 = 7174) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 71740 a prime number?
No. 71740 = × 5 × 17 × 211, so it is divisible by 2.
What are the factors of 71740?
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 211, 340, 422, 844, 1055, 2110, 3587, 4220, 7174, 14348, 17935, 35870, 71740.
What is 71740 in binary?
10001100000111100 (hexadecimal 1183C, octal 214074).
What is the square root of 71740?
About 267.8432, exactly 2√17935.
Is 71740 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 71740?
It is a composite number with 24 divisors.