The number 61992
61992 is a composite number with 64 divisors. Its prime factorisation is × × 7 × 41. Divisors (64): 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36 … 61992.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61992: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.
- 2
61992 is composite. Its prime factorisation is
- 3
The divisors add up to 201600; without 61992 itself that is 139608, so 61992 is abundant (139608 is more than 61992). Euler's totient φ(61992) = 17280 numbers up to 61992 share no factor with it.
- 4
The digits of 61992 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 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61992 = 2^{3} \times 3^{3} \times 7 \times 41 \]61992 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 201600 |
| Euler totient φ(n) | 17280 |
| Square | 3843008064 |
| Cube | 238235755903488 |
| Square root | 248.981927 (= 6√1722) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 55 |
| Scientific notation | 6.1992 × |
61992 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand nine hundred and ninety-two |
| Binary (base 2) | 1111001000101000 |
| Octal (base 8) | 171050 |
| Hexadecimal (base 16) | F228 |
| Base 3 | 10011001000 |
| As time | 61992 seconds = 17 h 13 min 12 s |
Is 61992 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61992 ÷ 2 = 30996) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (61992 ÷ 3 = 20664) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (61992 ÷ 4 = 15498) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (61992 ÷ 6 = 10332) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (61992 ÷ 7 = 8856) | 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 (61992 ÷ 8 = 7749) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (61992 ÷ 9 = 6888) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (61992 ÷ 12 = 5166) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61992 a prime number?
No. 61992 = × × 7 × 41, so it is divisible by 2.
What are the factors of 61992?
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 41, 42, 54, 56, 63, 72, 82, 84, 108, 123, 126, 164, 168, 189, 216, 246, 252, 287, 328, 369, 378, 492, 504, 574, 738, 756, 861, 984, 1107, 1148, 1476, 1512, 1722, 2214, 2296, 2583, 2952, 3444, 4428, 5166, 6888, 7749, 8856, 10332, 15498, 20664, 30996, 61992.
What is 61992 in binary?
1111001000101000 (hexadecimal F228, octal 171050).
What is the square root of 61992?
About 248.9819, exactly 6√1722.
Is 61992 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 61992?
61992 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.