The number 37696
37696 is a composite number with 28 divisors. Its prime factorisation is × 19 × 31. Divisors (28): 1, 2, 4, 8, 16, 19, 31, 32, 38, 62, 64, 76, 124, 152, 248, 304 … 37696.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37696: a Harshad number: divisible by its digit sum 31.
- 2
37696 is composite. Its prime factorisation is
- 3
The divisors add up to 81280; without 37696 itself that is 43584, so 37696 is abundant (43584 is more than 37696). Euler's totient φ(37696) = 17280 numbers up to 37696 share no factor with it.
- 4
The digits of 37696 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 124 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37696 = 2^{6} \times 19 \times 31 \]37696 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 81280 |
| Euler totient φ(n) | 17280 |
| Square | 1420988416 |
| Cube | 53565579329536 |
| Square root | 194.154578 (= 8√589) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 124 |
| Scientific notation | 3.7696 × |
37696 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand six hundred and ninety-six |
| Binary (base 2) | 1001001101000000 |
| Octal (base 8) | 111500 |
| Hexadecimal (base 16) | 9340 |
| Base 3 | 1220201011 |
| As time | 37696 seconds = 10 h 28 min 16 s |
Is 37696 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37696 ÷ 2 = 18848) | 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 (37696 ÷ 4 = 9424) | 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 1) | 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 (37696 ÷ 8 = 4712) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 37696 a prime number?
No. 37696 = × 19 × 31, so it is divisible by 2.
What are the factors of 37696?
1, 2, 4, 8, 16, 19, 31, 32, 38, 62, 64, 76, 124, 152, 248, 304, 496, 589, 608, 992, 1178, 1216, 1984, 2356, 4712, 9424, 18848, 37696.
What is 37696 in binary?
1001001101000000 (hexadecimal 9340, octal 111500).
What is the square root of 37696?
About 194.1546, exactly 8√589.
Is 37696 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 37696?
37696 is a Harshad number: divisible by its digit sum 31.