The number 61008
61008 is a composite number with 40 divisors. Its prime factorisation is × 3 × 31 × 41. Divisors (40): 1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 41, 48, 62, 82, 93, 123 … 61008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
61008 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61008 is composite. Its prime factorisation is
- 3
The divisors add up to 166656; without 61008 itself that is 105648, so 61008 is abundant (105648 is more than 61008). Euler's totient φ(61008) = 19200 numbers up to 61008 share no factor with it.
- 4
The digits of 61008 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61008 = 2^{4} \times 3 \times 31 \times 41 \]61008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 166656 |
| Euler totient φ(n) | 19200 |
| Square | 3721976064 |
| Cube | 227070315712512 |
| Square root | 246.997976 (= 4√3813) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 34 |
| Scientific notation | 6.1008 × |
61008 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand and eight |
| Binary (base 2) | 1110111001010000 |
| Octal (base 8) | 167120 |
| Hexadecimal (base 16) | EE50 |
| Base 3 | 10002200120 |
| As time | 61008 seconds = 16 h 56 min 48 s |
Is 61008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61008 ÷ 2 = 30504) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (61008 ÷ 3 = 20336) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (61008 ÷ 4 = 15252) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (61008 ÷ 6 = 10168) | 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 | Yes (61008 ÷ 8 = 7626) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (61008 ÷ 12 = 5084) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61008 a prime number?
No. 61008 = × 3 × 31 × 41, so it is divisible by 2.
What are the factors of 61008?
1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 41, 48, 62, 82, 93, 123, 124, 164, 186, 246, 248, 328, 372, 492, 496, 656, 744, 984, 1271, 1488, 1968, 2542, 3813, 5084, 7626, 10168, 15252, 20336, 30504, 61008.
What is 61008 in binary?
1110111001010000 (hexadecimal EE50, octal 167120).
What is the square root of 61008?
About 246.9980, exactly 4√3813.
Is 61008 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 61008?
It is a composite number with 40 divisors.