The number 61984
61984 is a composite number with 24 divisors. Its prime factorisation is × 13 × 149. Divisors (24): 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 149, 208, 298, 416, 596, 1192 … 61984.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
61984 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61984 is composite. Its prime factorisation is
- 3
The divisors add up to 132300; without 61984 itself that is 70316, so 61984 is abundant (70316 is more than 61984). Euler's totient φ(61984) = 28416 numbers up to 61984 share no factor with it.
- 4
The digits of 61984 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61984 = 2^{5} \times 13 \times 149 \]61984 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 132300 |
| Euler totient φ(n) | 28416 |
| Square | 3842016256 |
| Cube | 238143535611904 |
| Square root | 248.965861 (= 4√3874) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 55 |
| Scientific notation | 6.1984 × |
61984 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand nine hundred and eighty-four |
| Binary (base 2) | 1111001000100000 |
| Octal (base 8) | 171040 |
| Hexadecimal (base 16) | F220 |
| Base 3 | 10011000201 |
| As time | 61984 seconds = 17 h 13 min 4 s |
Is 61984 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61984 ÷ 2 = 30992) | 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 | Yes (61984 ÷ 4 = 15496) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 6) | 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 (61984 ÷ 8 = 7748) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61984 a prime number?
No. 61984 = × 13 × 149, so it is divisible by 2.
What are the factors of 61984?
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 149, 208, 298, 416, 596, 1192, 1937, 2384, 3874, 4768, 7748, 15496, 30992, 61984.
What is 61984 in binary?
1111001000100000 (hexadecimal F220, octal 171040).
What is the square root of 61984?
About 248.9659, exactly 4√3874.
Is 61984 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 61984?
It is a composite number with 24 divisors.