The number 40572
40572 is a composite number with 54 divisors. Its prime factorisation is × × × 23. Divisors (54): 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 23, 28, 36, 42, 46 … 40572.
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How to work it out
- 1
What is special about 40572: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
40572 is composite. Its prime factorisation is
- 3
The divisors add up to 124488; without 40572 itself that is 83916, so 40572 is abundant (83916 is more than 40572). Euler's totient φ(40572) = 11088 numbers up to 40572 share no factor with it.
- 4
The digits of 40572 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 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40572 = 2^{2} \times 3^{2} \times 7^{2} \times 23 \]40572 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 54 |
| Sum of divisors | 124488 |
| Euler totient φ(n) | 11088 |
| Square | 1646087184 |
| Cube | 66785049229248 |
| Square root | 201.424924 (= 42√23) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.0572 × |
40572 in other forms
| Form | Value |
|---|---|
| In words | forty thousand five hundred and seventy-two |
| Binary (base 2) | 1001111001111100 |
| Octal (base 8) | 117174 |
| Hexadecimal (base 16) | 9E7C |
| Base 3 | 2001122200 |
| As time | 40572 seconds = 11 h 16 min 12 s |
Is 40572 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40572 ÷ 2 = 20286) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40572 ÷ 3 = 13524) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40572 ÷ 4 = 10143) | 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 (40572 ÷ 6 = 6762) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (40572 ÷ 7 = 5796) | 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 (40572 ÷ 9 = 4508) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (40572 ÷ 12 = 3381) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40572 a prime number?
No. 40572 = × × × 23, so it is divisible by 2.
What are the factors of 40572?
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 23, 28, 36, 42, 46, 49, 63, 69, 84, 92, 98, 126, 138, 147, 161, 196, 207, 252, 276, 294, 322, 414, 441, 483, 588, 644, 828, 882, 966, 1127, 1449, 1764, 1932, 2254, 2898, 3381, 4508, 5796, 6762, 10143, 13524, 20286, 40572.
What is 40572 in binary?
1001111001111100 (hexadecimal 9E7C, octal 117174).
What is the square root of 40572?
About 201.4249, exactly 42√23.
Is 40572 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 40572?
40572 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.