The number 61006
61006 is a composite number with 16 divisors. Its prime factorisation is 2 × 11 × 47 × 59. Divisors (16): 1, 2, 11, 22, 47, 59, 94, 118, 517, 649, 1034, 1298, 2773, 5546, 30503, 61006.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
61006 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61006 is composite. Its prime factorisation is
- 3
The divisors add up to 103680; without 61006 itself that is 42674, so 61006 is deficient (42674 is less than 61006). Euler's totient φ(61006) = 26680 numbers up to 61006 share no factor with it.
- 4
The digits of 61006 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 179 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61006 = 2 \times 11 \times 47 \times 59 \]
61006 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 103680 |
| Euler totient φ(n) | 26680 |
| Square | 3721732036 |
| Cube | 227047984588216 |
| Square root | 246.993927 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 179 |
| Scientific notation | 6.1006 × |
61006 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand and six |
| Binary (base 2) | 1110111001001110 |
| Octal (base 8) | 167116 |
| Hexadecimal (base 16) | EE4E |
| Base 3 | 10002200111 |
| As time | 61006 seconds = 16 h 56 min 46 s |
Is 61006 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61006 ÷ 2 = 30503) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 | No (remainder 4) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 (61006 ÷ 11 = 5546) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61006 a prime number?
No. 61006 = 2 × 11 × 47 × 59, so it is divisible by 2.
What are the factors of 61006?
1, 2, 11, 22, 47, 59, 94, 118, 517, 649, 1034, 1298, 2773, 5546, 30503, 61006.
What is 61006 in binary?
1110111001001110 (hexadecimal EE4E, octal 167116).
What is the square root of 61006?
About 246.9939.
Is 61006 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 61006?
It is a composite number with 16 divisors.