The number 59780
59780 is a composite number with 36 divisors. Its prime factorisation is × 5 × × 61. Divisors (36): 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 61, 70, 98, 122, 140 … 59780.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59780: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
59780 is composite. Its prime factorisation is
- 3
The divisors add up to 148428; without 59780 itself that is 88648, so 59780 is abundant (88648 is more than 59780). Euler's totient φ(59780) = 20160 numbers up to 59780 share no factor with it.
- 4
The digits of 59780 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59780 = 2^{2} \times 5 \times 7^{2} \times 61 \]59780 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 148428 |
| Euler totient φ(n) | 20160 |
| Square | 3573648400 |
| Cube | 213632701352000 |
| Square root | 244.499489 (= 14√305) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.978 × |
59780 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand seven hundred and eighty |
| Binary (base 2) | 1110100110000100 |
| Octal (base 8) | 164604 |
| Hexadecimal (base 16) | E984 |
| Base 3 | 10001000002 |
| As time | 59780 seconds = 16 h 36 min 20 s |
Is 59780 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59780 ÷ 2 = 29890) | 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 (59780 ÷ 4 = 14945) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (59780 ÷ 5 = 11956) | 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 (59780 ÷ 7 = 8540) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (59780 ÷ 10 = 5978) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59780 a prime number?
No. 59780 = × 5 × × 61, so it is divisible by 2.
What are the factors of 59780?
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 61, 70, 98, 122, 140, 196, 244, 245, 305, 427, 490, 610, 854, 980, 1220, 1708, 2135, 2989, 4270, 5978, 8540, 11956, 14945, 29890, 59780.
What is 59780 in binary?
1110100110000100 (hexadecimal E984, octal 164604).
What is the square root of 59780?
About 244.4995, exactly 14√305.
Is 59780 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 59780?
59780 is a happy number: repeatedly adding the squares of its digits reaches 1.