The number 61360
61360 is a composite number with 40 divisors. Its prime factorisation is × 5 × 13 × 59. Divisors (40): 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 59, 65, 80, 104 … 61360.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61360: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 16.
- 2
61360 is composite. Its prime factorisation is
- 3
The divisors add up to 156240; without 61360 itself that is 94880, so 61360 is abundant (94880 is more than 61360). Euler's totient φ(61360) = 22272 numbers up to 61360 share no factor with it.
- 4
The digits of 61360 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61360 = 2^{4} \times 5 \times 13 \times 59 \]61360 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 156240 |
| Euler totient φ(n) | 22272 |
| Square | 3765049600 |
| Cube | 231023443456000 |
| Square root | 247.709507 (= 4√3835) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 135 |
| Scientific notation | 6.136 × |
61360 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand three hundred and sixty |
| Binary (base 2) | 1110111110110000 |
| Octal (base 8) | 167660 |
| Hexadecimal (base 16) | EFB0 |
| Base 3 | 10010011121 |
| As time | 61360 seconds = 17 h 2 min 40 s |
Is 61360 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61360 ÷ 2 = 30680) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (61360 ÷ 4 = 15340) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (61360 ÷ 5 = 12272) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 | Yes (61360 ÷ 8 = 7670) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (61360 ÷ 10 = 6136) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61360 a prime number?
No. 61360 = × 5 × 13 × 59, so it is divisible by 2.
What are the factors of 61360?
1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 59, 65, 80, 104, 118, 130, 208, 236, 260, 295, 472, 520, 590, 767, 944, 1040, 1180, 1534, 2360, 3068, 3835, 4720, 6136, 7670, 12272, 15340, 30680, 61360.
What is 61360 in binary?
1110111110110000 (hexadecimal EFB0, octal 167660).
What is the square root of 61360?
About 247.7095, exactly 4√3835.
Is 61360 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 61360?
61360 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 16.