The number 72041
72041 is a composite number with 4 divisors. Its prime factorisation is 61 × 1181. Divisors (4): 1, 61, 1181, 72041.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72041: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 61 × 1181, the product of two primes.
- 2
72041 is composite. Its prime factorisation is
- 3
The divisors add up to 73284; without 72041 itself that is 1243, so 72041 is deficient (1243 is less than 72041). Euler's totient φ(72041) = 70800 numbers up to 72041 share no factor with it.
- 4
The digits of 72041 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 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72041 = 61 \times 1181 \]
72041 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 73284 |
| Euler totient φ(n) | 70800 |
| Square | 5189905681 |
| Cube | 373885995164921 |
| Square root | 268.404545 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 81 |
| Scientific notation | 7.2041 × |
72041 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand and forty-one |
| Binary (base 2) | 10001100101101001 |
| Octal (base 8) | 214551 |
| Hexadecimal (base 16) | 11969 |
| Base 3 | 10122211012 |
| As time | 72041 seconds = 20 h 0 min 41 s |
Is 72041 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 1) | 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 1) | 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 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72041 a prime number?
No. 72041 = 61 × 1181, so it is divisible by 61.
What are the factors of 72041?
1, 61, 1181, 72041.
What is 72041 in binary?
10001100101101001 (hexadecimal 11969, octal 214551).
What is the square root of 72041?
About 268.4045.
Is 72041 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 72041?
72041 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 61 × 1181, the product of two primes.