The number 61336
61336 is a composite number with 32 divisors. Its prime factorisation is × 11 × 17 × 41. Divisors (32): 1, 2, 4, 8, 11, 17, 22, 34, 41, 44, 68, 82, 88, 136, 164, 187 … 61336.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61336: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
61336 is composite. Its prime factorisation is
- 3
The divisors add up to 136080; without 61336 itself that is 74744, so 61336 is abundant (74744 is more than 61336). Euler's totient φ(61336) = 25600 numbers up to 61336 share no factor with it.
- 4
The digits of 61336 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61336 = 2^{3} \times 11 \times 17 \times 41 \]61336 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 136080 |
| Euler totient φ(n) | 25600 |
| Square | 3762104896 |
| Cube | 230752465901056 |
| Square root | 247.661059 (= 2√15334) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 60 |
| Scientific notation | 6.1336 × |
61336 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand three hundred and thirty-six |
| Binary (base 2) | 1110111110011000 |
| Octal (base 8) | 167630 |
| Hexadecimal (base 16) | EF98 |
| Base 3 | 10010010201 |
| As time | 61336 seconds = 17 h 2 min 16 s |
Is 61336 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61336 ÷ 2 = 30668) | 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 (61336 ÷ 4 = 15334) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 2) | 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 (61336 ÷ 8 = 7667) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (61336 ÷ 11 = 5576) | 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 61336 a prime number?
No. 61336 = × 11 × 17 × 41, so it is divisible by 2.
What are the factors of 61336?
1, 2, 4, 8, 11, 17, 22, 34, 41, 44, 68, 82, 88, 136, 164, 187, 328, 374, 451, 697, 748, 902, 1394, 1496, 1804, 2788, 3608, 5576, 7667, 15334, 30668, 61336.
What is 61336 in binary?
1110111110011000 (hexadecimal EF98, octal 167630).
What is the square root of 61336?
About 247.6611, exactly 2√15334.
Is 61336 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 61336?
61336 is a happy number: repeatedly adding the squares of its digits reaches 1.