The number 39402
39402 is a composite number with 24 divisors. Its prime factorisation is 2 × × 11 × 199. Divisors (24): 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 199, 398, 597, 1194 … 39402.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 39402: a Harshad number: divisible by its digit sum 18.
- 2
39402 is composite. Its prime factorisation is
- 3
The divisors add up to 93600; without 39402 itself that is 54198, so 39402 is abundant (54198 is more than 39402). Euler's totient φ(39402) = 11880 numbers up to 39402 share no factor with it.
- 4
The digits of 39402 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39402 = 2 \times 3^{2} \times 11 \times 199 \]39402 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 93600 |
| Euler totient φ(n) | 11880 |
| Square | 1552517604 |
| Cube | 61172298632808 |
| Square root | 198.499370 (= 3√4378) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 75 |
| Scientific notation | 3.9402 × |
39402 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand four hundred and two |
| Binary (base 2) | 1001100111101010 |
| Octal (base 8) | 114752 |
| Hexadecimal (base 16) | 99EA |
| Base 3 | 2000001100 |
| As time | 39402 seconds = 10 h 56 min 42 s |
Is 39402 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (39402 ÷ 2 = 19701) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (39402 ÷ 3 = 13134) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (39402 ÷ 6 = 6567) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (39402 ÷ 9 = 4378) | 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 | Yes (39402 ÷ 11 = 3582) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 39402 a prime number?
No. 39402 = 2 × × 11 × 199, so it is divisible by 2.
What are the factors of 39402?
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 199, 398, 597, 1194, 1791, 2189, 3582, 4378, 6567, 13134, 19701, 39402.
What is 39402 in binary?
1001100111101010 (hexadecimal 99EA, octal 114752).
What is the square root of 39402?
About 198.4994, exactly 3√4378.
Is 39402 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 39402?
39402 is a Harshad number: divisible by its digit sum 18.