The number 47502
47502 is a composite number with 48 divisors. Its prime factorisation is 2 × × 7 × 13 × 29. Divisors (48): 1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 29, 39, 42, 58, 63 … 47502.
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How to work it out
- 1
What is special about 47502: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
47502 is composite. Its prime factorisation is
- 3
The divisors add up to 131040; without 47502 itself that is 83538, so 47502 is abundant (83538 is more than 47502). Euler's totient φ(47502) = 12096 numbers up to 47502 share no factor with it.
- 4
The digits of 47502 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 220 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47502 = 2 \times 3^{2} \times 7 \times 13 \times 29 \]47502 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 131040 |
| Euler totient φ(n) | 12096 |
| Square | 2256440004 |
| Cube | 107185413070008 |
| Square root | 217.949535 (= 3√5278) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 220 |
| Scientific notation | 4.7502 × |
47502 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand five hundred and two |
| Binary (base 2) | 1011100110001110 |
| Octal (base 8) | 134616 |
| Hexadecimal (base 16) | B98E |
| Base 3 | 2102011100 |
| As time | 47502 seconds = 13 h 11 min 42 s |
Is 47502 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47502 ÷ 2 = 23751) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47502 ÷ 3 = 15834) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (47502 ÷ 6 = 7917) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (47502 ÷ 7 = 6786) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (47502 ÷ 9 = 5278) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47502 a prime number?
No. 47502 = 2 × × 7 × 13 × 29, so it is divisible by 2.
What are the factors of 47502?
1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 29, 39, 42, 58, 63, 78, 87, 91, 117, 126, 174, 182, 203, 234, 261, 273, 377, 406, 522, 546, 609, 754, 819, 1131, 1218, 1638, 1827, 2262, 2639, 3393, 3654, 5278, 6786, 7917, 15834, 23751, 47502.
What is 47502 in binary?
1011100110001110 (hexadecimal B98E, octal 134616).
What is the square root of 47502?
About 217.9495, exactly 3√5278.
Is 47502 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 47502?
47502 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.