The number 61980
61980 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 1033. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1033, 2066, 3099, 4132 … 61980.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
61980 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61980 is composite. Its prime factorisation is
- 3
The divisors add up to 173712; without 61980 itself that is 111732, so 61980 is abundant (111732 is more than 61980). Euler's totient φ(61980) = 16512 numbers up to 61980 share no factor with it.
- 4
The digits of 61980 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 117 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61980 = 2^{2} \times 3 \times 5 \times 1033 \]61980 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 173712 |
| Euler totient φ(n) | 16512 |
| Square | 3841520400 |
| Cube | 238097434392000 |
| Square root | 248.957828 (= 2√15495) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 117 |
| Scientific notation | 6.198 × |
61980 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand nine hundred and eighty |
| Binary (base 2) | 1111001000011100 |
| Octal (base 8) | 171034 |
| Hexadecimal (base 16) | F21C |
| Base 3 | 10011000120 |
| As time | 61980 seconds = 17 h 13 min 0 s |
Is 61980 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61980 ÷ 2 = 30990) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (61980 ÷ 3 = 20660) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (61980 ÷ 4 = 15495) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (61980 ÷ 5 = 12396) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (61980 ÷ 6 = 10330) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (61980 ÷ 10 = 6198) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (61980 ÷ 12 = 5165) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61980 a prime number?
No. 61980 = × 3 × 5 × 1033, so it is divisible by 2.
What are the factors of 61980?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1033, 2066, 3099, 4132, 5165, 6198, 10330, 12396, 15495, 20660, 30990, 61980.
What is 61980 in binary?
1111001000011100 (hexadecimal F21C, octal 171034).
What is the square root of 61980?
About 248.9578, exactly 2√15495.
Is 61980 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 61980?
It is a composite number with 24 divisors.