The number 402
402 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 67. Divisors (8): 1, 2, 3, 6, 67, 134, 201, 402.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 402: a Harshad number: divisible by its digit sum 6.
- 2
402 is composite. Its prime factorisation is
- 3
The divisors add up to 816; without 402 itself that is 414, so 402 is abundant (414 is more than 402). Euler's totient φ(402) = 132 numbers up to 402 share no factor with it.
- 4
The digits of 402 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 19 steps to reach 1.
LaTeX source of the formulas on this page
\[ 402 = 2 \times 3 \times 67 \]
402 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 816 |
| Euler totient φ(n) | 132 |
| Square | 161604 |
| Cube | 64964808 |
| Square root | 20.049938 |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 19 |
| Scientific notation | 4.02 × |
402 in other forms
| Form | Value |
|---|---|
| In words | four hundred and two |
| Roman numerals | CDII |
| Binary (base 2) | 110010010 |
| Octal (base 8) | 622 |
| Hexadecimal (base 16) | 192 |
| Base 3 | 112220 |
| As time | 402 seconds = 6 min 42 s |
Is 402 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (402 ÷ 2 = 201) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (402 ÷ 3 = 134) | 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 (402 ÷ 6 = 67) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 6) | 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 402 a prime number?
No. 402 = 2 × 3 × 67, so it is divisible by 2.
What are the factors of 402?
1, 2, 3, 6, 67, 134, 201, 402.
What is 402 in binary?
110010010 (hexadecimal 192, octal 622).
What is the square root of 402?
About 20.0499.
What is 402 in Roman numerals?
CDII.
Is 402 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 402?
402 is a Harshad number: divisible by its digit sum 6.