The number 75980
75980 is a composite number with 24 divisors. Its prime factorisation is × 5 × 29 × 131. Divisors (24): 1, 2, 4, 5, 10, 20, 29, 58, 116, 131, 145, 262, 290, 524, 580, 655 … 75980.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 75980: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 29.
- 2
75980 is composite. Its prime factorisation is
- 3
The divisors add up to 166320; without 75980 itself that is 90340, so 75980 is abundant (90340 is more than 75980). Euler's totient φ(75980) = 29120 numbers up to 75980 share no factor with it.
- 4
The digits of 75980 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 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 75980 = 2^{2} \times 5 \times 29 \times 131 \]75980 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 166320 |
| Euler totient φ(n) | 29120 |
| Square | 5772960400 |
| Cube | 438629531192000 |
| Square root | 275.644699 (= 2√18995) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 55 |
| Scientific notation | 7.598 × |
75980 in other forms
| Form | Value |
|---|---|
| In words | seventy-five thousand nine hundred and eighty |
| Binary (base 2) | 10010100011001100 |
| Octal (base 8) | 224314 |
| Hexadecimal (base 16) | 128CC |
| Base 3 | 10212020002 |
| As time | 75980 seconds = 21 h 6 min 20 s |
Is 75980 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (75980 ÷ 2 = 37990) | 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 (75980 ÷ 4 = 18995) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (75980 ÷ 5 = 15196) | 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 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (75980 ÷ 10 = 7598) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 75980 a prime number?
No. 75980 = × 5 × 29 × 131, so it is divisible by 2.
What are the factors of 75980?
1, 2, 4, 5, 10, 20, 29, 58, 116, 131, 145, 262, 290, 524, 580, 655, 1310, 2620, 3799, 7598, 15196, 18995, 37990, 75980.
What is 75980 in binary?
10010100011001100 (hexadecimal 128CC, octal 224314).
What is the square root of 75980?
About 275.6447, exactly 2√18995.
Is 75980 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 75980?
75980 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 29.