The number 30736
30736 is a composite number with 20 divisors. Its prime factorisation is × 17 × 113. Divisors (20): 1, 2, 4, 8, 16, 17, 34, 68, 113, 136, 226, 272, 452, 904, 1808, 1921 … 30736.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 30736: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
30736 is composite. Its prime factorisation is
- 3
The divisors add up to 63612; without 30736 itself that is 32876, so 30736 is abundant (32876 is more than 30736). Euler's totient φ(30736) = 14336 numbers up to 30736 share no factor with it.
- 4
The digits of 30736 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 30736 = 2^{4} \times 17 \times 113 \]30736 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 63612 |
| Euler totient φ(n) | 14336 |
| Square | 944701696 |
| Cube | 29036351328256 |
| Square root | 175.316856 (= 4√1921) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.0736 × |
30736 in other forms
| Form | Value |
|---|---|
| In words | thirty thousand seven hundred and thirty-six |
| Binary (base 2) | 111100000010000 |
| Octal (base 8) | 74020 |
| Hexadecimal (base 16) | 7810 |
| Base 3 | 1120011101 |
| As time | 30736 seconds = 8 h 32 min 16 s |
Is 30736 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (30736 ÷ 2 = 15368) | 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 | Yes (30736 ÷ 4 = 7684) | 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 4) | 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 | Yes (30736 ÷ 8 = 3842) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 30736 a prime number?
No. 30736 = × 17 × 113, so it is divisible by 2.
What are the factors of 30736?
1, 2, 4, 8, 16, 17, 34, 68, 113, 136, 226, 272, 452, 904, 1808, 1921, 3842, 7684, 15368, 30736.
What is 30736 in binary?
111100000010000 (hexadecimal 7810, octal 74020).
What is the square root of 30736?
About 175.3169, exactly 4√1921.
Is 30736 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 30736?
30736 is a happy number: repeatedly adding the squares of its digits reaches 1.