The number 71172
71172 is a composite number with 24 divisors. Its prime factorisation is × × 659. Divisors (24): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 659, 1318, 1977, 2636 … 71172.
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How to work it out
- 1
What is special about 71172: a Harshad number: divisible by its digit sum 18.
- 2
71172 is composite. Its prime factorisation is
- 3
The divisors add up to 184800; without 71172 itself that is 113628, so 71172 is abundant (113628 is more than 71172). Euler's totient φ(71172) = 23688 numbers up to 71172 share no factor with it.
- 4
The digits of 71172 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 174 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71172 = 2^{2} \times 3^{3} \times 659 \]71172 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 184800 |
| Euler totient φ(n) | 23688 |
| Square | 5065453584 |
| Cube | 360518462480448 |
| Square root | 266.780809 (= 6√1977) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 174 |
| Scientific notation | 7.1172 × |
71172 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand one hundred and seventy-two |
| Binary (base 2) | 10001011000000100 |
| Octal (base 8) | 213004 |
| Hexadecimal (base 16) | 11604 |
| Base 3 | 10121122000 |
| As time | 71172 seconds = 19 h 46 min 12 s |
Is 71172 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71172 ÷ 2 = 35586) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (71172 ÷ 3 = 23724) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (71172 ÷ 4 = 17793) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (71172 ÷ 6 = 11862) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (71172 ÷ 9 = 7908) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (71172 ÷ 12 = 5931) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71172 a prime number?
No. 71172 = × × 659, so it is divisible by 2.
What are the factors of 71172?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 659, 1318, 1977, 2636, 3954, 5931, 7908, 11862, 17793, 23724, 35586, 71172.
What is 71172 in binary?
10001011000000100 (hexadecimal 11604, octal 213004).
What is the square root of 71172?
About 266.7808, exactly 6√1977.
Is 71172 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 71172?
71172 is a Harshad number: divisible by its digit sum 18.