The number 49956
49956 is a composite number with 24 divisors. Its prime factorisation is × 3 × 23 × 181. Divisors (24): 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 181, 276, 362, 543, 724 … 49956.
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How to work it out
- 1
What is special about 49956: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
49956 is composite. Its prime factorisation is
- 3
The divisors add up to 122304; without 49956 itself that is 72348, so 49956 is abundant (72348 is more than 49956). Euler's totient φ(49956) = 15840 numbers up to 49956 share no factor with it.
- 4
The digits of 49956 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49956 = 2^{2} \times 3 \times 23 \times 181 \]49956 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 122304 |
| Euler totient φ(n) | 15840 |
| Square | 2495601936 |
| Cube | 124670290314816 |
| Square root | 223.508389 (= 2√12489) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.9956 × |
49956 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand nine hundred and fifty-six |
| Binary (base 2) | 1100001100100100 |
| Octal (base 8) | 141444 |
| Hexadecimal (base 16) | C324 |
| Base 3 | 2112112020 |
| As time | 49956 seconds = 13 h 52 min 36 s |
Is 49956 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49956 ÷ 2 = 24978) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49956 ÷ 3 = 16652) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49956 ÷ 4 = 12489) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (49956 ÷ 6 = 8326) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (49956 ÷ 12 = 4163) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49956 a prime number?
No. 49956 = × 3 × 23 × 181, so it is divisible by 2.
What are the factors of 49956?
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 181, 276, 362, 543, 724, 1086, 2172, 4163, 8326, 12489, 16652, 24978, 49956.
What is 49956 in binary?
1100001100100100 (hexadecimal C324, octal 141444).
What is the square root of 49956?
About 223.5084, exactly 2√12489.
Is 49956 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 49956?
49956 is a happy number: repeatedly adding the squares of its digits reaches 1.