The number 49972
49972 is a composite number with 18 divisors. Its prime factorisation is × 13 × . Divisors (18): 1, 2, 4, 13, 26, 31, 52, 62, 124, 403, 806, 961, 1612, 1922, 3844, 12493 … 49972.
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How to work it out
- 1
What is special about 49972: a Harshad number: divisible by its digit sum 31.
- 2
49972 is composite. Its prime factorisation is
- 3
The divisors add up to 97314; without 49972 itself that is 47342, so 49972 is deficient (47342 is less than 49972). Euler's totient φ(49972) = 22320 numbers up to 49972 share no factor with it.
- 4
The digits of 49972 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 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49972 = 2^{2} \times 13 \times 31^{2} \]49972 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 97314 |
| Euler totient φ(n) | 22320 |
| Square | 2497200784 |
| Cube | 124790117578048 |
| Square root | 223.544179 (= 62√13) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.9972 × |
49972 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand nine hundred and seventy-two |
| Binary (base 2) | 1100001100110100 |
| Octal (base 8) | 141464 |
| Hexadecimal (base 16) | C334 |
| Base 3 | 2112112211 |
| As time | 49972 seconds = 13 h 52 min 52 s |
Is 49972 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49972 ÷ 2 = 24986) | 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 (49972 ÷ 4 = 12493) | 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 6) | 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 10) | 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 49972 a prime number?
No. 49972 = × 13 × , so it is divisible by 2.
What are the factors of 49972?
1, 2, 4, 13, 26, 31, 52, 62, 124, 403, 806, 961, 1612, 1922, 3844, 12493, 24986, 49972.
What is 49972 in binary?
1100001100110100 (hexadecimal C334, octal 141464).
What is the square root of 49972?
About 223.5442, exactly 62√13.
Is 49972 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 49972?
49972 is a Harshad number: divisible by its digit sum 31.