The number 60972
60972 is a composite number with 12 divisors. Its prime factorisation is × 3 × 5081. Divisors (12): 1, 2, 3, 4, 6, 12, 5081, 10162, 15243, 20324, 30486, 60972.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
60972 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
60972 is composite. Its prime factorisation is
- 3
The divisors add up to 142296; without 60972 itself that is 81324, so 60972 is abundant (81324 is more than 60972). Euler's totient φ(60972) = 20320 numbers up to 60972 share no factor with it.
- 4
The digits of 60972 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 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60972 = 2^{2} \times 3 \times 5081 \]60972 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 142296 |
| Euler totient φ(n) | 20320 |
| Square | 3717584784 |
| Cube | 226668579450048 |
| Square root | 246.925090 (= 2√15243) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 135 |
| Scientific notation | 6.0972 × |
60972 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand nine hundred and seventy-two |
| Binary (base 2) | 1110111000101100 |
| Octal (base 8) | 167054 |
| Hexadecimal (base 16) | EE2C |
| Base 3 | 10002122020 |
| As time | 60972 seconds = 16 h 56 min 12 s |
Is 60972 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60972 ÷ 2 = 30486) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (60972 ÷ 3 = 20324) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (60972 ÷ 4 = 15243) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (60972 ÷ 6 = 10162) | 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 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (60972 ÷ 12 = 5081) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60972 a prime number?
No. 60972 = × 3 × 5081, so it is divisible by 2.
What are the factors of 60972?
1, 2, 3, 4, 6, 12, 5081, 10162, 15243, 20324, 30486, 60972.
What is 60972 in binary?
1110111000101100 (hexadecimal EE2C, octal 167054).
What is the square root of 60972?
About 246.9251, exactly 2√15243.
Is 60972 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 60972?
It is a composite number with 12 divisors.