The number 75426
75426 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 13 × 967. Divisors (16): 1, 2, 3, 6, 13, 26, 39, 78, 967, 1934, 2901, 5802, 12571, 25142, 37713, 75426.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 75426: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
75426 is composite. Its prime factorisation is
- 3
The divisors add up to 162624; without 75426 itself that is 87198, so 75426 is abundant (87198 is more than 75426). Euler's totient φ(75426) = 23184 numbers up to 75426 share no factor with it.
- 4
The digits of 75426 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 75426 = 2 \times 3 \times 13 \times 967 \]
75426 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 162624 |
| Euler totient φ(n) | 23184 |
| Square | 5689081476 |
| Cube | 429104659408776 |
| Square root | 274.637943 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.5426 × |
75426 in other forms
| Form | Value |
|---|---|
| In words | seventy-five thousand four hundred and twenty-six |
| Binary (base 2) | 10010011010100010 |
| Octal (base 8) | 223242 |
| Hexadecimal (base 16) | 126A2 |
| Base 3 | 10211110120 |
| As time | 75426 seconds = 20 h 57 min 6 s |
Is 75426 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (75426 ÷ 2 = 37713) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (75426 ÷ 3 = 25142) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (75426 ÷ 6 = 12571) | 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 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 75426 a prime number?
No. 75426 = 2 × 3 × 13 × 967, so it is divisible by 2.
What are the factors of 75426?
1, 2, 3, 6, 13, 26, 39, 78, 967, 1934, 2901, 5802, 12571, 25142, 37713, 75426.
What is 75426 in binary?
10010011010100010 (hexadecimal 126A2, octal 223242).
What is the square root of 75426?
About 274.6379.
Is 75426 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 75426?
75426 is a happy number: repeatedly adding the squares of its digits reaches 1.