The number 61101
61101 is a composite number with 16 divisors. Its prime factorisation is × 31 × 73. Divisors (16): 1, 3, 9, 27, 31, 73, 93, 219, 279, 657, 837, 1971, 2263, 6789, 20367, 61101.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61101: a Harshad number: divisible by its digit sum 9.
- 2
61101 is composite. Its prime factorisation is
- 3
The divisors add up to 94720; without 61101 itself that is 33619, so 61101 is deficient (33619 is less than 61101). Euler's totient φ(61101) = 38880 numbers up to 61101 share no factor with it.
- 4
The digits of 61101 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61101 = 3^{3} \times 31 \times 73 \]61101 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 94720 |
| Euler totient φ(n) | 38880 |
| Square | 3733332201 |
| Cube | 228110330813301 |
| Square root | 247.186165 (= 3√6789) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.1101 × |
61101 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand one hundred and one |
| Binary (base 2) | 1110111010101101 |
| Octal (base 8) | 167255 |
| Hexadecimal (base 16) | EEAD |
| Base 3 | 10002211000 |
| As time | 61101 seconds = 16 h 58 min 21 s |
Is 61101 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 (61101 ÷ 3 = 20367) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (61101 ÷ 9 = 6789) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61101 a prime number?
No. 61101 = × 31 × 73, so it is divisible by 3.
What are the factors of 61101?
1, 3, 9, 27, 31, 73, 93, 219, 279, 657, 837, 1971, 2263, 6789, 20367, 61101.
What is 61101 in binary?
1110111010101101 (hexadecimal EEAD, octal 167255).
What is the square root of 61101?
About 247.1862, exactly 3√6789.
Is 61101 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 61101?
61101 is a Harshad number: divisible by its digit sum 9.