The number 58972
58972 is a composite number with 12 divisors. Its prime factorisation is × 23 × 641. Divisors (12): 1, 2, 4, 23, 46, 92, 641, 1282, 2564, 14743, 29486, 58972.
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How to work it out
- 1
58972 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58972 is composite. Its prime factorisation is
- 3
The divisors add up to 107856; without 58972 itself that is 48884, so 58972 is deficient (48884 is less than 58972). Euler's totient φ(58972) = 28160 numbers up to 58972 share no factor with it.
- 4
The digits of 58972 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58972 = 2^{2} \times 23 \times 641 \]58972 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 107856 |
| Euler totient φ(n) | 28160 |
| Square | 3477696784 |
| Cube | 205086734746048 |
| Square root | 242.841512 (= 2√14743) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.8972 × |
58972 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand nine hundred and seventy-two |
| Binary (base 2) | 1110011001011100 |
| Octal (base 8) | 163134 |
| Hexadecimal (base 16) | E65C |
| Base 3 | 2222220011 |
| As time | 58972 seconds = 16 h 22 min 52 s |
Is 58972 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58972 ÷ 2 = 29486) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (58972 ÷ 4 = 14743) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 4) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58972 a prime number?
No. 58972 = × 23 × 641, so it is divisible by 2.
What are the factors of 58972?
1, 2, 4, 23, 46, 92, 641, 1282, 2564, 14743, 29486, 58972.
What is 58972 in binary?
1110011001011100 (hexadecimal E65C, octal 163134).
What is the square root of 58972?
About 242.8415, exactly 2√14743.
Is 58972 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 58972?
It is a composite number with 12 divisors.