The number 61998
61998 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 10333. Divisors (8): 1, 2, 3, 6, 10333, 20666, 30999, 61998.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61998: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
61998 is composite. Its prime factorisation is
- 3
The divisors add up to 124008; without 61998 itself that is 62010, so 61998 is abundant (62010 is more than 61998). Euler's totient φ(61998) = 20664 numbers up to 61998 share no factor with it.
- 4
The digits of 61998 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 179 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61998 = 2 \times 3 \times 10333 \]
61998 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 124008 |
| Euler totient φ(n) | 20664 |
| Square | 3843752004 |
| Cube | 238304936743992 |
| Square root | 248.993976 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 179 |
| Scientific notation | 6.1998 × |
61998 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand nine hundred and ninety-eight |
| Binary (base 2) | 1111001000101110 |
| Octal (base 8) | 171056 |
| Hexadecimal (base 16) | F22E |
| Base 3 | 10011001020 |
| As time | 61998 seconds = 17 h 13 min 18 s |
Is 61998 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61998 ÷ 2 = 30999) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (61998 ÷ 3 = 20666) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (61998 ÷ 6 = 10333) | 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 | No (remainder 6) | 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 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61998 a prime number?
No. 61998 = 2 × 3 × 10333, so it is divisible by 2.
What are the factors of 61998?
1, 2, 3, 6, 10333, 20666, 30999, 61998.
What is 61998 in binary?
1111001000101110 (hexadecimal F22E, octal 171056).
What is the square root of 61998?
About 248.9940.
Is 61998 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 61998?
61998 is a happy number: repeatedly adding the squares of its digits reaches 1.