The number 61335
61335 is a composite number with 24 divisors. Its prime factorisation is × 5 × 29 × 47. Divisors (24): 1, 3, 5, 9, 15, 29, 45, 47, 87, 141, 145, 235, 261, 423, 435, 705 … 61335.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
61335 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61335 is composite. Its prime factorisation is
- 3
The divisors add up to 112320; without 61335 itself that is 50985, so 61335 is deficient (50985 is less than 61335). Euler's totient φ(61335) = 30912 numbers up to 61335 share no factor with it.
- 4
The digits of 61335 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61335 = 3^{2} \times 5 \times 29 \times 47 \]61335 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 112320 |
| Euler totient φ(n) | 30912 |
| Square | 3761982225 |
| Cube | 230741179770375 |
| Square root | 247.659040 (= 3√6815) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 60 |
| Scientific notation | 6.1335 × |
61335 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand three hundred and thirty-five |
| Binary (base 2) | 1110111110010111 |
| Octal (base 8) | 167627 |
| Hexadecimal (base 16) | EF97 |
| Base 3 | 10010010200 |
| As time | 61335 seconds = 17 h 2 min 15 s |
Is 61335 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (61335 ÷ 3 = 20445) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (61335 ÷ 5 = 12267) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (61335 ÷ 9 = 6815) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61335 a prime number?
No. 61335 = × 5 × 29 × 47, so it is divisible by 3.
What are the factors of 61335?
1, 3, 5, 9, 15, 29, 45, 47, 87, 141, 145, 235, 261, 423, 435, 705, 1305, 1363, 2115, 4089, 6815, 12267, 20445, 61335.
What is 61335 in binary?
1110111110010111 (hexadecimal EF97, octal 167627).
What is the square root of 61335?
About 247.6590, exactly 3√6815.
Is 61335 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 61335?
It is a composite number with 24 divisors.