The number 72769
72769 is a composite number with 4 divisors. Its prime factorisation is 53 × 1373. Divisors (4): 1, 53, 1373, 72769.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72769: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 53 × 1373, the product of two primes.
- 2
72769 is composite. Its prime factorisation is
- 3
The divisors add up to 74196; without 72769 itself that is 1427, so 72769 is deficient (1427 is less than 72769). Euler's totient φ(72769) = 71344 numbers up to 72769 share no factor with it.
- 4
The digits of 72769 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72769 = 53 \times 1373 \]
72769 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 74196 |
| Euler totient φ(n) | 71344 |
| Square | 5295327361 |
| Cube | 385335676732609 |
| Square root | 269.757298 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.2769 × |
72769 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand seven hundred and sixty-nine |
| Binary (base 2) | 10001110001000001 |
| Octal (base 8) | 216101 |
| Hexadecimal (base 16) | 11C41 |
| Base 3 | 10200211011 |
| As time | 72769 seconds = 20 h 12 min 49 s |
Is 72769 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 1) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72769 a prime number?
No. 72769 = 53 × 1373, so it is divisible by 53.
What are the factors of 72769?
1, 53, 1373, 72769.
What is 72769 in binary?
10001110001000001 (hexadecimal 11C41, octal 216101).
What is the square root of 72769?
About 269.7573.
Is 72769 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 72769?
72769 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 53 × 1373, the product of two primes.