The number 71496
71496 is a composite number with 32 divisors. Its prime factorisation is × × 331. Divisors (32): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216 … 71496.
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How to work it out
- 1
What is special about 71496: a Harshad number: divisible by its digit sum 27.
- 2
71496 is composite. Its prime factorisation is
- 3
The divisors add up to 199200; without 71496 itself that is 127704, so 71496 is abundant (127704 is more than 71496). Euler's totient φ(71496) = 23760 numbers up to 71496 share no factor with it.
- 4
The digits of 71496 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71496 = 2^{3} \times 3^{3} \times 331 \]71496 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 199200 |
| Euler totient φ(n) | 23760 |
| Square | 5111678016 |
| Cube | 365464531431936 |
| Square root | 267.387359 (= 6√1986) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 99 |
| Scientific notation | 7.1496 × |
71496 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand four hundred and ninety-six |
| Binary (base 2) | 10001011101001000 |
| Octal (base 8) | 213510 |
| Hexadecimal (base 16) | 11748 |
| Base 3 | 10122002000 |
| As time | 71496 seconds = 19 h 51 min 36 s |
Is 71496 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71496 ÷ 2 = 35748) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (71496 ÷ 3 = 23832) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (71496 ÷ 4 = 17874) | 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 (71496 ÷ 6 = 11916) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (71496 ÷ 8 = 8937) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (71496 ÷ 9 = 7944) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (71496 ÷ 12 = 5958) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71496 a prime number?
No. 71496 = × × 331, so it is divisible by 2.
What are the factors of 71496?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 331, 662, 993, 1324, 1986, 2648, 2979, 3972, 5958, 7944, 8937, 11916, 17874, 23832, 35748, 71496.
What is 71496 in binary?
10001011101001000 (hexadecimal 11748, octal 213510).
What is the square root of 71496?
About 267.3874, exactly 6√1986.
Is 71496 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 71496?
71496 is a Harshad number: divisible by its digit sum 27.