The number 41720
41720 is a composite number with 32 divisors. Its prime factorisation is × 5 × 7 × 149. Divisors (32): 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 149 … 41720.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41720: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 14.
- 2
41720 is composite. Its prime factorisation is
- 3
The divisors add up to 108000; without 41720 itself that is 66280, so 41720 is abundant (66280 is more than 41720). Euler's totient φ(41720) = 14208 numbers up to 41720 share no factor with it.
- 4
The digits of 41720 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
\[ 41720 = 2^{3} \times 5 \times 7 \times 149 \]41720 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 108000 |
| Euler totient φ(n) | 14208 |
| Square | 1740558400 |
| Cube | 72616096448000 |
| Square root | 204.254743 (= 2√10430) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.172 × |
41720 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand seven hundred and twenty |
| Binary (base 2) | 1010001011111000 |
| Octal (base 8) | 121370 |
| Hexadecimal (base 16) | A2F8 |
| Base 3 | 2010020012 |
| As time | 41720 seconds = 11 h 35 min 20 s |
Is 41720 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41720 ÷ 2 = 20860) | 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 (41720 ÷ 4 = 10430) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (41720 ÷ 5 = 8344) | 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 (41720 ÷ 7 = 5960) | 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 (41720 ÷ 8 = 5215) | 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 | Yes (41720 ÷ 10 = 4172) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 41720 a prime number?
No. 41720 = × 5 × 7 × 149, so it is divisible by 2.
What are the factors of 41720?
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 149, 280, 298, 596, 745, 1043, 1192, 1490, 2086, 2980, 4172, 5215, 5960, 8344, 10430, 20860, 41720.
What is 41720 in binary?
1010001011111000 (hexadecimal A2F8, octal 121370).
What is the square root of 41720?
About 204.2547, exactly 2√10430.
Is 41720 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 41720?
41720 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 14.