The number 71406
71406 is a composite number with 12 divisors. Its prime factorisation is 2 × × 3967. Divisors (12): 1, 2, 3, 6, 9, 18, 3967, 7934, 11901, 23802, 35703, 71406.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71406: a Harshad number: divisible by its digit sum 18.
- 2
71406 is composite. Its prime factorisation is
- 3
The divisors add up to 154752; without 71406 itself that is 83346, so 71406 is abundant (83346 is more than 71406). Euler's totient φ(71406) = 23796 numbers up to 71406 share no factor with it.
- 4
The digits of 71406 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71406 = 2 \times 3^{2} \times 3967 \]71406 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 154752 |
| Euler totient φ(n) | 23796 |
| Square | 5098816836 |
| Cube | 364086114991416 |
| Square root | 267.219011 (= 3√7934) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 73 |
| Scientific notation | 7.1406 × |
71406 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand four hundred and six |
| Binary (base 2) | 10001011011101110 |
| Octal (base 8) | 213356 |
| Hexadecimal (base 16) | 116EE |
| Base 3 | 10121221200 |
| As time | 71406 seconds = 19 h 50 min 6 s |
Is 71406 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71406 ÷ 2 = 35703) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (71406 ÷ 3 = 23802) | 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 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (71406 ÷ 6 = 11901) | 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 | Yes (71406 ÷ 9 = 7934) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71406 a prime number?
No. 71406 = 2 × × 3967, so it is divisible by 2.
What are the factors of 71406?
1, 2, 3, 6, 9, 18, 3967, 7934, 11901, 23802, 35703, 71406.
What is 71406 in binary?
10001011011101110 (hexadecimal 116EE, octal 213356).
What is the square root of 71406?
About 267.2190, exactly 3√7934.
Is 71406 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 71406?
71406 is a Harshad number: divisible by its digit sum 18.