The number 61880
61880 is a composite number with 64 divisors. Its prime factorisation is × 5 × 7 × 13 × 17. Divisors (64): 1, 2, 4, 5, 7, 8, 10, 13, 14, 17, 20, 26, 28, 34, 35, 40 … 61880.
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How to work it out
- 1
61880 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61880 is composite. Its prime factorisation is
- 3
The divisors add up to 181440; without 61880 itself that is 119560, so 61880 is abundant (119560 is more than 61880). Euler's totient φ(61880) = 18432 numbers up to 61880 share no factor with it.
- 4
The digits of 61880 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61880 = 2^{3} \times 5 \times 7 \times 13 \times 17 \]61880 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 181440 |
| Euler totient φ(n) | 18432 |
| Square | 3829134400 |
| Cube | 236946836672000 |
| Square root | 248.756909 (= 2√15470) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.188 × |
61880 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand eight hundred and eighty |
| Binary (base 2) | 1111000110111000 |
| Octal (base 8) | 170670 |
| Hexadecimal (base 16) | F1B8 |
| Base 3 | 10010212212 |
| As time | 61880 seconds = 17 h 11 min 20 s |
Is 61880 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61880 ÷ 2 = 30940) | 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 (61880 ÷ 4 = 15470) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (61880 ÷ 5 = 12376) | 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 | Yes (61880 ÷ 7 = 8840) | 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 (61880 ÷ 8 = 7735) | 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 (61880 ÷ 10 = 6188) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 61880 a prime number?
No. 61880 = × 5 × 7 × 13 × 17, so it is divisible by 2.
What are the factors of 61880?
1, 2, 4, 5, 7, 8, 10, 13, 14, 17, 20, 26, 28, 34, 35, 40, 52, 56, 65, 68, 70, 85, 91, 104, 119, 130, 136, 140, 170, 182, 221, 238, 260, 280, 340, 364, 442, 455, 476, 520, 595, 680, 728, 884, 910, 952, 1105, 1190, 1547, 1768, 1820, 2210, 2380, 3094, 3640, 4420, 4760, 6188, 7735, 8840, 12376, 15470, 30940, 61880.
What is 61880 in binary?
1111000110111000 (hexadecimal F1B8, octal 170670).
What is the square root of 61880?
About 248.7569, exactly 2√15470.
Is 61880 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 61880?
It is a composite number with 64 divisors.