The number 39772
39772 is a composite number with 12 divisors. Its prime factorisation is × 61 × 163. Divisors (12): 1, 2, 4, 61, 122, 163, 244, 326, 652, 9943, 19886, 39772.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 39772: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
39772 is composite. Its prime factorisation is
- 3
The divisors add up to 71176; without 39772 itself that is 31404, so 39772 is deficient (31404 is less than 39772). Euler's totient φ(39772) = 19440 numbers up to 39772 share no factor with it.
- 4
The digits of 39772 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39772 = 2^{2} \times 61 \times 163 \]39772 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 71176 |
| Euler totient φ(n) | 19440 |
| Square | 1581811984 |
| Cube | 62911826227648 |
| Square root | 199.429185 (= 2√9943) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 75 |
| Scientific notation | 3.9772 × |
39772 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand seven hundred and seventy-two |
| Binary (base 2) | 1001101101011100 |
| Octal (base 8) | 115534 |
| Hexadecimal (base 16) | 9B5C |
| Base 3 | 2000120001 |
| As time | 39772 seconds = 11 h 2 min 52 s |
Is 39772 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (39772 ÷ 2 = 19886) | 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 (39772 ÷ 4 = 9943) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 5) | 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 4) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 39772 a prime number?
No. 39772 = × 61 × 163, so it is divisible by 2.
What are the factors of 39772?
1, 2, 4, 61, 122, 163, 244, 326, 652, 9943, 19886, 39772.
What is 39772 in binary?
1001101101011100 (hexadecimal 9B5C, octal 115534).
What is the square root of 39772?
About 199.4292, exactly 2√9943.
Is 39772 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 39772?
39772 is a happy number: repeatedly adding the squares of its digits reaches 1.