The number 61434
61434 is a composite number with 12 divisors. Its prime factorisation is 2 × × 3413. Divisors (12): 1, 2, 3, 6, 9, 18, 3413, 6826, 10239, 20478, 30717, 61434.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61434: a Harshad number: divisible by its digit sum 18.
- 2
61434 is composite. Its prime factorisation is
- 3
The divisors add up to 133146; without 61434 itself that is 71712, so 61434 is abundant (71712 is more than 61434). Euler's totient φ(61434) = 20472 numbers up to 61434 share no factor with it.
- 4
The digits of 61434 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 117 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61434 = 2 \times 3^{2} \times 3413 \]61434 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 133146 |
| Euler totient φ(n) | 20472 |
| Square | 3774136356 |
| Cube | 231860292894504 |
| Square root | 247.858831 (= 3√6826) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 117 |
| Scientific notation | 6.1434 × |
61434 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand four hundred and thirty-four |
| Binary (base 2) | 1110111111111010 |
| Octal (base 8) | 167772 |
| Hexadecimal (base 16) | EFFA |
| Base 3 | 10010021100 |
| As time | 61434 seconds = 17 h 3 min 54 s |
Is 61434 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61434 ÷ 2 = 30717) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (61434 ÷ 3 = 20478) | 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 (61434 ÷ 6 = 10239) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (61434 ÷ 9 = 6826) | 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 10) | 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 61434 a prime number?
No. 61434 = 2 × × 3413, so it is divisible by 2.
What are the factors of 61434?
1, 2, 3, 6, 9, 18, 3413, 6826, 10239, 20478, 30717, 61434.
What is 61434 in binary?
1110111111111010 (hexadecimal EFFA, octal 167772).
What is the square root of 61434?
About 247.8588, exactly 3√6826.
Is 61434 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 61434?
61434 is a Harshad number: divisible by its digit sum 18.