The number 30402
30402 is a composite number with 16 divisors. Its prime factorisation is 2 × × 563. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 563, 1126, 1689, 3378, 5067, 10134, 15201, 30402.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 30402: a Harshad number: divisible by its digit sum 9.
- 2
30402 is composite. Its prime factorisation is
- 3
The divisors add up to 67680; without 30402 itself that is 37278, so 30402 is abundant (37278 is more than 30402). Euler's totient φ(30402) = 10116 numbers up to 30402 share no factor with it.
- 4
The digits of 30402 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 30402 = 2 \times 3^{3} \times 563 \]30402 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 67680 |
| Euler totient φ(n) | 10116 |
| Square | 924281604 |
| Cube | 28100009324808 |
| Square root | 174.361693 (= 3√3378) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.0402 × |
30402 in other forms
| Form | Value |
|---|---|
| In words | thirty thousand four hundred and two |
| Binary (base 2) | 111011011000010 |
| Octal (base 8) | 73302 |
| Hexadecimal (base 16) | 76C2 |
| Base 3 | 1112201000 |
| As time | 30402 seconds = 8 h 26 min 42 s |
Is 30402 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (30402 ÷ 2 = 15201) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (30402 ÷ 3 = 10134) | 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 (30402 ÷ 6 = 5067) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (30402 ÷ 9 = 3378) | 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 9) | 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 30402 a prime number?
No. 30402 = 2 × × 563, so it is divisible by 2.
What are the factors of 30402?
1, 2, 3, 6, 9, 18, 27, 54, 563, 1126, 1689, 3378, 5067, 10134, 15201, 30402.
What is 30402 in binary?
111011011000010 (hexadecimal 76C2, octal 73302).
What is the square root of 30402?
About 174.3617, exactly 3√3378.
Is 30402 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 30402?
30402 is a Harshad number: divisible by its digit sum 9.