The number 7434
7434 is a composite number with 24 divisors. Its prime factorisation is 2 × × 7 × 59. Divisors (24): 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 59, 63, 118, 126, 177, 354 … 7434.
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How to work it out
- 1
What is special about 7434: a Harshad number: divisible by its digit sum 18.
- 2
7434 is composite. Its prime factorisation is
- 3
The divisors add up to 18720; without 7434 itself that is 11286, so 7434 is abundant (11286 is more than 7434). Euler's totient φ(7434) = 2088 numbers up to 7434 share no factor with it.
- 4
The digits of 7434 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 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7434 = 2 \times 3^{2} \times 7 \times 59 \]7434 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 18720 |
| Euler totient φ(n) | 2088 |
| Square | 55264356 |
| Cube | 410835222504 |
| Square root | 86.220647 (= 3√826) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 132 |
| Scientific notation | 7.434 × |
7434 in other forms
| Form | Value |
|---|---|
| In words | seven thousand four hundred and thirty-four |
| Binary (base 2) | 1110100001010 |
| Octal (base 8) | 16412 |
| Hexadecimal (base 16) | 1D0A |
| Base 3 | 101012100 |
| As time | 7434 seconds = 2 h 3 min 54 s |
Is 7434 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7434 ÷ 2 = 3717) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (7434 ÷ 3 = 2478) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (7434 ÷ 6 = 1239) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (7434 ÷ 7 = 1062) | 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 (7434 ÷ 9 = 826) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 7434 a prime number?
No. 7434 = 2 × × 7 × 59, so it is divisible by 2.
What are the factors of 7434?
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 59, 63, 118, 126, 177, 354, 413, 531, 826, 1062, 1239, 2478, 3717, 7434.
What is 7434 in binary?
1110100001010 (hexadecimal 1D0A, octal 16412).
What is the square root of 7434?
About 86.2206, exactly 3√826.
Is 7434 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 7434?
7434 is a Harshad number: divisible by its digit sum 18.