The number 73629
73629 is a composite number with 14 divisors. Its prime factorisation is × 101. Divisors (14): 1, 3, 9, 27, 81, 101, 243, 303, 729, 909, 2727, 8181, 24543, 73629.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73629: a Harshad number: divisible by its digit sum 27.
- 2
73629 is composite. Its prime factorisation is
- 3
The divisors add up to 111486; without 73629 itself that is 37857, so 73629 is deficient (37857 is less than 73629). Euler's totient φ(73629) = 48600 numbers up to 73629 share no factor with it.
- 4
The digits of 73629 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73629 = 3^{6} \times 101 \]73629 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 111486 |
| Euler totient φ(n) | 48600 |
| Square | 5421229641 |
| Cube | 399159717237189 |
| Square root | 271.346642 (= 27√101) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.3629 × |
73629 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand six hundred and twenty-nine |
| Binary (base 2) | 10001111110011101 |
| Octal (base 8) | 217635 |
| Hexadecimal (base 16) | 11F9D |
| Base 3 | 10202000000 |
| As time | 73629 seconds = 20 h 27 min 9 s |
Is 73629 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 | Yes (73629 ÷ 3 = 24543) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (73629 ÷ 9 = 8181) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73629 a prime number?
No. 73629 = × 101, so it is divisible by 3.
What are the factors of 73629?
1, 3, 9, 27, 81, 101, 243, 303, 729, 909, 2727, 8181, 24543, 73629.
What is 73629 in binary?
10001111110011101 (hexadecimal 11F9D, octal 217635).
What is the square root of 73629?
About 271.3466, exactly 27√101.
Is 73629 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 73629?
73629 is a Harshad number: divisible by its digit sum 27.