The number 41572
41572 is a composite number with 12 divisors. Its prime factorisation is × 19 × 547. Divisors (12): 1, 2, 4, 19, 38, 76, 547, 1094, 2188, 10393, 20786, 41572.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41572: a Harshad number: divisible by its digit sum 19.
- 2
41572 is composite. Its prime factorisation is
- 3
The divisors add up to 76720; without 41572 itself that is 35148, so 41572 is deficient (35148 is less than 41572). Euler's totient φ(41572) = 19656 numbers up to 41572 share no factor with it.
- 4
The digits of 41572 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41572 = 2^{2} \times 19 \times 547 \]41572 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 76720 |
| Euler totient φ(n) | 19656 |
| Square | 1728231184 |
| Cube | 71846026781248 |
| Square root | 203.892128 (= 2√10393) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.1572 × |
41572 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand five hundred and seventy-two |
| Binary (base 2) | 1010001001100100 |
| Octal (base 8) | 121144 |
| Hexadecimal (base 16) | A264 |
| Base 3 | 2010000201 |
| As time | 41572 seconds = 11 h 32 min 52 s |
Is 41572 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41572 ÷ 2 = 20786) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (41572 ÷ 4 = 10393) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | No (remainder 1) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41572 a prime number?
No. 41572 = × 19 × 547, so it is divisible by 2.
What are the factors of 41572?
1, 2, 4, 19, 38, 76, 547, 1094, 2188, 10393, 20786, 41572.
What is 41572 in binary?
1010001001100100 (hexadecimal A264, octal 121144).
What is the square root of 41572?
About 203.8921, exactly 2√10393.
Is 41572 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 41572?
41572 is a Harshad number: divisible by its digit sum 19.