The number 61383
61383 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 37 × 79. Divisors (16): 1, 3, 7, 21, 37, 79, 111, 237, 259, 553, 777, 1659, 2923, 8769, 20461, 61383.
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How to work it out
- 1
What is special about 61383: a Harshad number: divisible by its digit sum 21.
- 2
61383 is composite. Its prime factorisation is
- 3
The divisors add up to 97280; without 61383 itself that is 35897, so 61383 is deficient (35897 is less than 61383). Euler's totient φ(61383) = 33696 numbers up to 61383 share no factor with it.
- 4
The digits of 61383 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
\[ 61383 = 3 \times 7 \times 37 \times 79 \]
61383 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 97280 |
| Euler totient φ(n) | 33696 |
| Square | 3767872689 |
| Cube | 231283329268887 |
| Square root | 247.755928 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 73 |
| Scientific notation | 6.1383 × |
61383 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand three hundred and eighty-three |
| Binary (base 2) | 1110111111000111 |
| Octal (base 8) | 167707 |
| Hexadecimal (base 16) | EFC7 |
| Base 3 | 10010012110 |
| As time | 61383 seconds = 17 h 3 min 3 s |
Is 61383 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 (61383 ÷ 3 = 20461) | 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 | No (remainder 3) | 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 | Yes (61383 ÷ 7 = 8769) | 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 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 61383 a prime number?
No. 61383 = 3 × 7 × 37 × 79, so it is divisible by 3.
What are the factors of 61383?
1, 3, 7, 21, 37, 79, 111, 237, 259, 553, 777, 1659, 2923, 8769, 20461, 61383.
What is 61383 in binary?
1110111111000111 (hexadecimal EFC7, octal 167707).
What is the square root of 61383?
About 247.7559.
Is 61383 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 61383?
61383 is a Harshad number: divisible by its digit sum 21.