The number 77629
77629 is a composite number with 4 divisors. Its prime factorisation is 149 × 521. Divisors (4): 1, 149, 521, 77629.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77629: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 149 × 521, the product of two primes.
- 2
77629 is composite. Its prime factorisation is
- 3
The divisors add up to 78300; without 77629 itself that is 671, so 77629 is deficient (671 is less than 77629). Euler's totient φ(77629) = 76960 numbers up to 77629 share no factor with it.
- 4
The digits of 77629 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 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77629 = 149 \times 521 \]
77629 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 78300 |
| Euler totient φ(n) | 76960 |
| Square | 6026261641 |
| Cube | 467812664929189 |
| Square root | 278.619813 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 138 |
| Scientific notation | 7.7629 × |
77629 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand six hundred and twenty-nine |
| Binary (base 2) | 10010111100111101 |
| Octal (base 8) | 227475 |
| Hexadecimal (base 16) | 12F3D |
| Base 3 | 10221111011 |
| As time | 77629 seconds = 21 h 33 min 49 s |
Is 77629 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 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 5) | 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 2) | 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 77629 a prime number?
No. 77629 = 149 × 521, so it is divisible by 149.
What are the factors of 77629?
1, 149, 521, 77629.
What is 77629 in binary?
10010111100111101 (hexadecimal 12F3D, octal 227475).
What is the square root of 77629?
About 278.6198.
Is 77629 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 77629?
77629 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 149 × 521, the product of two primes.