The number 72413
72413 is a composite number with 8 divisors. Its prime factorisation is 11 × 29 × 227. Divisors (8): 1, 11, 29, 227, 319, 2497, 6583, 72413.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72413: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
72413 is composite. Its prime factorisation is
- 3
The divisors add up to 82080; without 72413 itself that is 9667, so 72413 is deficient (9667 is less than 72413). Euler's totient φ(72413) = 63280 numbers up to 72413 share no factor with it.
- 4
The digits of 72413 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72413 = 11 \times 29 \times 227 \]
72413 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 82080 |
| Euler totient φ(n) | 63280 |
| Square | 5243642569 |
| Cube | 379707889348997 |
| Square root | 269.096637 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.2413 × |
72413 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand four hundred and thirteen |
| Binary (base 2) | 10001101011011101 |
| Octal (base 8) | 215335 |
| Hexadecimal (base 16) | 11ADD |
| Base 3 | 10200022222 |
| As time | 72413 seconds = 20 h 6 min 53 s |
Is 72413 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 3) | 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 5) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (72413 ÷ 11 = 6583) | 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 72413 a prime number?
No. 72413 = 11 × 29 × 227, so it is divisible by 11.
What are the factors of 72413?
1, 11, 29, 227, 319, 2497, 6583, 72413.
What is 72413 in binary?
10001101011011101 (hexadecimal 11ADD, octal 215335).
What is the square root of 72413?
About 269.0966.
Is 72413 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 72413?
72413 is a happy number: repeatedly adding the squares of its digits reaches 1.