The number 3402
3402 is a composite number with 24 divisors. Its prime factorisation is 2 × × 7. Divisors (24): 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162 … 3402.
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How to work it out
- 1
What is special about 3402: a Harshad number: divisible by its digit sum 9.
- 2
3402 is composite. Its prime factorisation is
- 3
The divisors add up to 8736; without 3402 itself that is 5334, so 3402 is abundant (5334 is more than 3402). Euler's totient φ(3402) = 972 numbers up to 3402 share no factor with it.
- 4
The digits of 3402 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 61 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3402 = 2 \times 3^{5} \times 7 \]3402 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 8736 |
| Euler totient φ(n) | 972 |
| Square | 11573604 |
| Cube | 39373400808 |
| Square root | 58.326666 (= 9√42) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 61 |
| Scientific notation | 3.402 × |
3402 in other forms
| Form | Value |
|---|---|
| In words | three thousand four hundred and two |
| Roman numerals | MMMCDII |
| Binary (base 2) | 110101001010 |
| Octal (base 8) | 6512 |
| Hexadecimal (base 16) | D4A |
| Base 3 | 11200000 |
| As time | 3402 seconds = 56 min 42 s |
Is 3402 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3402 ÷ 2 = 1701) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3402 ÷ 3 = 1134) | 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 (3402 ÷ 6 = 567) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (3402 ÷ 7 = 486) | 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 (3402 ÷ 9 = 378) | 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 3) | 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 3402 a prime number?
No. 3402 = 2 × × 7, so it is divisible by 2.
What are the factors of 3402?
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 243, 378, 486, 567, 1134, 1701, 3402.
What is 3402 in binary?
110101001010 (hexadecimal D4A, octal 6512).
What is the square root of 3402?
About 58.3267, exactly 9√42.
What is 3402 in Roman numerals?
MMMCDII.
Is 3402 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 3402?
3402 is a Harshad number: divisible by its digit sum 9.