The number 61340
61340 is a composite number with 12 divisors. Its prime factorisation is × 5 × 3067. Divisors (12): 1, 2, 4, 5, 10, 20, 3067, 6134, 12268, 15335, 30670, 61340.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
61340 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61340 is composite. Its prime factorisation is
- 3
The divisors add up to 128856; without 61340 itself that is 67516, so 61340 is abundant (67516 is more than 61340). Euler's totient φ(61340) = 24528 numbers up to 61340 share no factor with it.
- 4
The digits of 61340 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 179 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61340 = 2^{2} \times 5 \times 3067 \]61340 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 128856 |
| Euler totient φ(n) | 24528 |
| Square | 3762595600 |
| Cube | 230797614104000 |
| Square root | 247.669134 (= 2√15335) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 179 |
| Scientific notation | 6.134 × |
61340 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand three hundred and forty |
| Binary (base 2) | 1110111110011100 |
| Octal (base 8) | 167634 |
| Hexadecimal (base 16) | EF9C |
| Base 3 | 10010010212 |
| As time | 61340 seconds = 17 h 2 min 20 s |
Is 61340 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61340 ÷ 2 = 30670) | 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 (61340 ÷ 4 = 15335) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (61340 ÷ 5 = 12268) | 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 6) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (61340 ÷ 10 = 6134) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 61340 a prime number?
No. 61340 = × 5 × 3067, so it is divisible by 2.
What are the factors of 61340?
1, 2, 4, 5, 10, 20, 3067, 6134, 12268, 15335, 30670, 61340.
What is 61340 in binary?
1110111110011100 (hexadecimal EF9C, octal 167634).
What is the square root of 61340?
About 247.6691, exactly 2√15335.
Is 61340 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 61340?
It is a composite number with 12 divisors.