The number 61149
61149 is a composite number with 16 divisors. Its prime factorisation is 3 × 11 × 17 × 109. Divisors (16): 1, 3, 11, 17, 33, 51, 109, 187, 327, 561, 1199, 1853, 3597, 5559, 20383, 61149.
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How to work it out
- 1
61149 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61149 is composite. Its prime factorisation is
- 3
The divisors add up to 95040; without 61149 itself that is 33891, so 61149 is deficient (33891 is less than 61149). Euler's totient φ(61149) = 34560 numbers up to 61149 share no factor with it.
- 4
The digits of 61149 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61149 = 3 \times 11 \times 17 \times 109 \]
61149 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 95040 |
| Euler totient φ(n) | 34560 |
| Square | 3739200201 |
| Cube | 228648353090949 |
| Square root | 247.283238 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 73 |
| Scientific notation | 6.1149 × |
61149 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand one hundred and forty-nine |
| Binary (base 2) | 1110111011011101 |
| Octal (base 8) | 167335 |
| Hexadecimal (base 16) | EEDD |
| Base 3 | 10002212210 |
| As time | 61149 seconds = 16 h 59 min 9 s |
Is 61149 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 (61149 ÷ 3 = 20383) | 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 4) | 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 4) | 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 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (61149 ÷ 11 = 5559) | 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 61149 a prime number?
No. 61149 = 3 × 11 × 17 × 109, so it is divisible by 3.
What are the factors of 61149?
1, 3, 11, 17, 33, 51, 109, 187, 327, 561, 1199, 1853, 3597, 5559, 20383, 61149.
What is 61149 in binary?
1110111011011101 (hexadecimal EEDD, octal 167335).
What is the square root of 61149?
About 247.2832.
Is 61149 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 61149?
It is a composite number with 16 divisors.