The number 61388
61388 is a composite number with 12 divisors. Its prime factorisation is × 103 × 149. Divisors (12): 1, 2, 4, 103, 149, 206, 298, 412, 596, 15347, 30694, 61388.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
61388 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61388 is composite. Its prime factorisation is
- 3
The divisors add up to 109200; without 61388 itself that is 47812, so 61388 is deficient (47812 is less than 61388). Euler's totient φ(61388) = 30192 numbers up to 61388 share no factor with it.
- 4
The digits of 61388 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61388 = 2^{2} \times 103 \times 149 \]61388 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 109200 |
| Euler totient φ(n) | 30192 |
| Square | 3768486544 |
| Cube | 231339851963072 |
| Square root | 247.766019 (= 2√15347) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 60 |
| Scientific notation | 6.1388 × |
61388 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand three hundred and eighty-eight |
| Binary (base 2) | 1110111111001100 |
| Octal (base 8) | 167714 |
| Hexadecimal (base 16) | EFCC |
| Base 3 | 10010012122 |
| As time | 61388 seconds = 17 h 3 min 8 s |
Is 61388 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61388 ÷ 2 = 30694) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (61388 ÷ 4 = 15347) | 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 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61388 a prime number?
No. 61388 = × 103 × 149, so it is divisible by 2.
What are the factors of 61388?
1, 2, 4, 103, 149, 206, 298, 412, 596, 15347, 30694, 61388.
What is 61388 in binary?
1110111111001100 (hexadecimal EFCC, octal 167714).
What is the square root of 61388?
About 247.7660, exactly 2√15347.
Is 61388 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 61388?
It is a composite number with 12 divisors.