The number 61988
61988 is a composite number with 6 divisors. Its prime factorisation is × 15497. Divisors (6): 1, 2, 4, 15497, 30994, 61988.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
61988 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61988 is composite. Its prime factorisation is
- 3
The divisors add up to 108486; without 61988 itself that is 46498, so 61988 is deficient (46498 is less than 61988). Euler's totient φ(61988) = 30992 numbers up to 61988 share no factor with it.
- 4
The digits of 61988 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61988 = 2^{2} \times 15497 \]61988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 108486 |
| Euler totient φ(n) | 30992 |
| Square | 3842512144 |
| Cube | 238189642782272 |
| Square root | 248.973894 (= 2√15497) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 166 |
| Scientific notation | 6.1988 × |
61988 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand nine hundred and eighty-eight |
| Binary (base 2) | 1111001000100100 |
| Octal (base 8) | 171044 |
| Hexadecimal (base 16) | F224 |
| Base 3 | 10011000212 |
| As time | 61988 seconds = 17 h 13 min 8 s |
Is 61988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61988 ÷ 2 = 30994) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (61988 ÷ 4 = 15497) | 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 | No (remainder 2) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61988 a prime number?
No. 61988 = × 15497, so it is divisible by 2.
What are the factors of 61988?
1, 2, 4, 15497, 30994, 61988.
What is 61988 in binary?
1111001000100100 (hexadecimal F224, octal 171044).
What is the square root of 61988?
About 248.9739, exactly 2√15497.
Is 61988 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 61988?
It is a composite number with 6 divisors.