The number 40712
40712 is a composite number with 16 divisors. Its prime factorisation is × 7 × 727. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 56, 727, 1454, 2908, 5089, 5816, 10178, 20356, 40712.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40712: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 14.
- 2
40712 is composite. Its prime factorisation is
- 3
The divisors add up to 87360; without 40712 itself that is 46648, so 40712 is abundant (46648 is more than 40712). Euler's totient φ(40712) = 17424 numbers up to 40712 share no factor with it.
- 4
The digits of 40712 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40712 = 2^{3} \times 7 \times 727 \]40712 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 87360 |
| Euler totient φ(n) | 17424 |
| Square | 1657466944 |
| Cube | 67478794224128 |
| Square root | 201.772149 (= 2√10178) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.0712 × |
40712 in other forms
| Form | Value |
|---|---|
| In words | forty thousand seven hundred and twelve |
| Binary (base 2) | 1001111100001000 |
| Octal (base 8) | 117410 |
| Hexadecimal (base 16) | 9F08 |
| Base 3 | 2001211212 |
| As time | 40712 seconds = 11 h 18 min 32 s |
Is 40712 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40712 ÷ 2 = 20356) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40712 ÷ 4 = 10178) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (40712 ÷ 7 = 5816) | 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 (40712 ÷ 8 = 5089) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40712 a prime number?
No. 40712 = × 7 × 727, so it is divisible by 2.
What are the factors of 40712?
1, 2, 4, 7, 8, 14, 28, 56, 727, 1454, 2908, 5089, 5816, 10178, 20356, 40712.
What is 40712 in binary?
1001111100001000 (hexadecimal 9F08, octal 117410).
What is the square root of 40712?
About 201.7721, exactly 2√10178.
Is 40712 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 40712?
40712 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 14.