The number 39700
39700 is a composite number with 18 divisors. Its prime factorisation is × × 397. Divisors (18): 1, 2, 4, 5, 10, 20, 25, 50, 100, 397, 794, 1588, 1985, 3970, 7940, 9925 … 39700.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 39700: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
39700 is composite. Its prime factorisation is
- 3
The divisors add up to 86366; without 39700 itself that is 46666, so 39700 is abundant (46666 is more than 39700). Euler's totient φ(39700) = 15840 numbers up to 39700 share no factor with it.
- 4
The digits of 39700 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 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39700 = 2^{2} \times 5^{2} \times 397 \]39700 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 86366 |
| Euler totient φ(n) | 15840 |
| Square | 1576090000 |
| Cube | 62570773000000 |
| Square root | 199.248588 (= 10√397) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 44 |
| Scientific notation | 3.97 × |
39700 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand seven hundred |
| Binary (base 2) | 1001101100010100 |
| Octal (base 8) | 115424 |
| Hexadecimal (base 16) | 9B14 |
| Base 3 | 2000110101 |
| As time | 39700 seconds = 11 h 1 min 40 s |
Is 39700 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (39700 ÷ 2 = 19850) | 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 (39700 ÷ 4 = 9925) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (39700 ÷ 5 = 7940) | 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 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 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 | Yes (39700 ÷ 10 = 3970) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 39700 a prime number?
No. 39700 = × × 397, so it is divisible by 2.
What are the factors of 39700?
1, 2, 4, 5, 10, 20, 25, 50, 100, 397, 794, 1588, 1985, 3970, 7940, 9925, 19850, 39700.
What is 39700 in binary?
1001101100010100 (hexadecimal 9B14, octal 115424).
What is the square root of 39700?
About 199.2486, exactly 10√397.
Is 39700 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 39700?
39700 is a happy number: repeatedly adding the squares of its digits reaches 1.