The number 72980
72980 is a composite number with 24 divisors. Its prime factorisation is × 5 × 41 × 89. Divisors (24): 1, 2, 4, 5, 10, 20, 41, 82, 89, 164, 178, 205, 356, 410, 445, 820 … 72980.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72980 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72980 is composite. Its prime factorisation is
- 3
The divisors add up to 158760; without 72980 itself that is 85780, so 72980 is abundant (85780 is more than 72980). Euler's totient φ(72980) = 28160 numbers up to 72980 share no factor with it.
- 4
The digits of 72980 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72980 = 2^{2} \times 5 \times 41 \times 89 \]72980 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 158760 |
| Euler totient φ(n) | 28160 |
| Square | 5326080400 |
| Cube | 388697347592000 |
| Square root | 270.148108 (= 2√18245) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.298 × |
72980 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand nine hundred and eighty |
| Binary (base 2) | 10001110100010100 |
| Octal (base 8) | 216424 |
| Hexadecimal (base 16) | 11D14 |
| Base 3 | 10201002222 |
| As time | 72980 seconds = 20 h 16 min 20 s |
Is 72980 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72980 ÷ 2 = 36490) | 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 (72980 ÷ 4 = 18245) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (72980 ÷ 5 = 14596) | 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 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (72980 ÷ 10 = 7298) | 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 72980 a prime number?
No. 72980 = × 5 × 41 × 89, so it is divisible by 2.
What are the factors of 72980?
1, 2, 4, 5, 10, 20, 41, 82, 89, 164, 178, 205, 356, 410, 445, 820, 890, 1780, 3649, 7298, 14596, 18245, 36490, 72980.
What is 72980 in binary?
10001110100010100 (hexadecimal 11D14, octal 216424).
What is the square root of 72980?
About 270.1481, exactly 2√18245.
Is 72980 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 72980?
It is a composite number with 24 divisors.