The number 61488
61488 is a composite number with 60 divisors. Its prime factorisation is × × 7 × 61. Divisors (60): 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36 … 61488.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
61488 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61488 is composite. Its prime factorisation is
- 3
The divisors add up to 199888; without 61488 itself that is 138400, so 61488 is abundant (138400 is more than 61488). Euler's totient φ(61488) = 17280 numbers up to 61488 share no factor with it.
- 4
The digits of 61488 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 148 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61488 = 2^{4} \times 3^{2} \times 7 \times 61 \]61488 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 199888 |
| Euler totient φ(n) | 17280 |
| Square | 3780774144 |
| Cube | 232472240566272 |
| Square root | 247.967740 (= 12√427) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 148 |
| Scientific notation | 6.1488 × |
61488 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand four hundred and eighty-eight |
| Binary (base 2) | 1111000000110000 |
| Octal (base 8) | 170060 |
| Hexadecimal (base 16) | F030 |
| Base 3 | 10010100100 |
| As time | 61488 seconds = 17 h 4 min 48 s |
Is 61488 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61488 ÷ 2 = 30744) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (61488 ÷ 3 = 20496) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (61488 ÷ 4 = 15372) | 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 (61488 ÷ 6 = 10248) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (61488 ÷ 7 = 8784) | 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 (61488 ÷ 8 = 7686) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (61488 ÷ 9 = 6832) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (61488 ÷ 12 = 5124) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61488 a prime number?
No. 61488 = × × 7 × 61, so it is divisible by 2.
What are the factors of 61488?
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 61, 63, 72, 84, 112, 122, 126, 144, 168, 183, 244, 252, 336, 366, 427, 488, 504, 549, 732, 854, 976, 1008, 1098, 1281, 1464, 1708, 2196, 2562, 2928, 3416, 3843, 4392, 5124, 6832, 7686, 8784, 10248, 15372, 20496, 30744, 61488.
What is 61488 in binary?
1111000000110000 (hexadecimal F030, octal 170060).
What is the square root of 61488?
About 247.9677, exactly 12√427.
Is 61488 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 61488?
It is a composite number with 60 divisors.