The number 71463
71463 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 41 × 83. Divisors (16): 1, 3, 7, 21, 41, 83, 123, 249, 287, 581, 861, 1743, 3403, 10209, 23821, 71463.
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How to work it out
- 1
What is special about 71463: a Harshad number: divisible by its digit sum 21.
- 2
71463 is composite. Its prime factorisation is
- 3
The divisors add up to 112896; without 71463 itself that is 41433, so 71463 is deficient (41433 is less than 71463). Euler's totient φ(71463) = 39360 numbers up to 71463 share no factor with it.
- 4
The digits of 71463 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71463 = 3 \times 7 \times 41 \times 83 \]
71463 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 112896 |
| Euler totient φ(n) | 39360 |
| Square | 5106960369 |
| Cube | 364958708849847 |
| Square root | 267.325644 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 73 |
| Scientific notation | 7.1463 × |
71463 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand four hundred and sixty-three |
| Binary (base 2) | 10001011100100111 |
| Octal (base 8) | 213447 |
| Hexadecimal (base 16) | 11727 |
| Base 3 | 10122000210 |
| As time | 71463 seconds = 19 h 51 min 3 s |
Is 71463 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 (71463 ÷ 3 = 23821) | 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 3) | 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 | Yes (71463 ÷ 7 = 10209) | 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 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 71463 a prime number?
No. 71463 = 3 × 7 × 41 × 83, so it is divisible by 3.
What are the factors of 71463?
1, 3, 7, 21, 41, 83, 123, 249, 287, 581, 861, 1743, 3403, 10209, 23821, 71463.
What is 71463 in binary?
10001011100100111 (hexadecimal 11727, octal 213447).
What is the square root of 71463?
About 267.3256.
Is 71463 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 71463?
71463 is a Harshad number: divisible by its digit sum 21.