The number 42465
42465 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 19 × 149. Divisors (16): 1, 3, 5, 15, 19, 57, 95, 149, 285, 447, 745, 2235, 2831, 8493, 14155, 42465.
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How to work it out
- 1
What is special about 42465: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42465 is composite. Its prime factorisation is
- 3
The divisors add up to 72000; without 42465 itself that is 29535, so 42465 is deficient (29535 is less than 42465). Euler's totient φ(42465) = 21312 numbers up to 42465 share no factor with it.
- 4
The digits of 42465 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42465 = 3 \times 5 \times 19 \times 149 \]
42465 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 72000 |
| Euler totient φ(n) | 21312 |
| Square | 1803276225 |
| Cube | 76576124894625 |
| Square root | 206.070376 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.2465 × |
42465 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand four hundred and sixty-five |
| Binary (base 2) | 1010010111100001 |
| Octal (base 8) | 122741 |
| Hexadecimal (base 16) | A5E1 |
| Base 3 | 2011020210 |
| As time | 42465 seconds = 11 h 47 min 45 s |
Is 42465 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42465 ÷ 3 = 14155) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (42465 ÷ 5 = 8493) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42465 a prime number?
No. 42465 = 3 × 5 × 19 × 149, so it is divisible by 3.
What are the factors of 42465?
1, 3, 5, 15, 19, 57, 95, 149, 285, 447, 745, 2235, 2831, 8493, 14155, 42465.
What is 42465 in binary?
1010010111100001 (hexadecimal A5E1, octal 122741).
What is the square root of 42465?
About 206.0704.
Is 42465 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 42465?
42465 is a happy number: repeatedly adding the squares of its digits reaches 1.