The number 61446
61446 is a composite number with 48 divisors. Its prime factorisation is 2 × 3 × × 11 × 19. Divisors (48): 1, 2, 3, 6, 7, 11, 14, 19, 21, 22, 33, 38, 42, 49, 57, 66 … 61446.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61446: a Harshad number: divisible by its digit sum 21.
- 2
61446 is composite. Its prime factorisation is
- 3
The divisors add up to 164160; without 61446 itself that is 102714, so 61446 is abundant (102714 is more than 61446). Euler's totient φ(61446) = 15120 numbers up to 61446 share no factor with it.
- 4
The digits of 61446 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 179 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61446 = 2 \times 3 \times 7^{2} \times 11 \times 19 \]61446 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 164160 |
| Euler totient φ(n) | 15120 |
| Square | 3775610916 |
| Cube | 231996188344536 |
| Square root | 247.883037 (= 7√1254) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 179 |
| Scientific notation | 6.1446 × |
61446 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand four hundred and forty-six |
| Binary (base 2) | 1111000000000110 |
| Octal (base 8) | 170006 |
| Hexadecimal (base 16) | F006 |
| Base 3 | 10010021210 |
| As time | 61446 seconds = 17 h 4 min 6 s |
Is 61446 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61446 ÷ 2 = 30723) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (61446 ÷ 3 = 20482) | 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 (61446 ÷ 6 = 10241) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (61446 ÷ 7 = 8778) | 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 6) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (61446 ÷ 11 = 5586) | 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 61446 a prime number?
No. 61446 = 2 × 3 × × 11 × 19, so it is divisible by 2.
What are the factors of 61446?
1, 2, 3, 6, 7, 11, 14, 19, 21, 22, 33, 38, 42, 49, 57, 66, 77, 98, 114, 133, 147, 154, 209, 231, 266, 294, 399, 418, 462, 539, 627, 798, 931, 1078, 1254, 1463, 1617, 1862, 2793, 2926, 3234, 4389, 5586, 8778, 10241, 20482, 30723, 61446.
What is 61446 in binary?
1111000000000110 (hexadecimal F006, octal 170006).
What is the square root of 61446?
About 247.8830, exactly 7√1254.
Is 61446 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 61446?
61446 is a Harshad number: divisible by its digit sum 21.