The number 15246
15246 is a composite number with 36 divisors. Its prime factorisation is 2 × × 7 × . Divisors (36): 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 63, 66, 77 … 15246.
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How to work it out
- 1
What is special about 15246: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
15246 is composite. Its prime factorisation is
- 3
The divisors add up to 41496; without 15246 itself that is 26250, so 15246 is abundant (26250 is more than 15246). Euler's totient φ(15246) = 3960 numbers up to 15246 share no factor with it.
- 4
The digits of 15246 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 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15246 = 2 \times 3^{2} \times 7 \times 11^{2} \]15246 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 41496 |
| Euler totient φ(n) | 3960 |
| Square | 232440516 |
| Cube | 3543788106936 |
| Square root | 123.474694 (= 33√14) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 71 |
| Scientific notation | 1.5246 × |
15246 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand two hundred and forty-six |
| Binary (base 2) | 11101110001110 |
| Octal (base 8) | 35616 |
| Hexadecimal (base 16) | 3B8E |
| Base 3 | 202220200 |
| As time | 15246 seconds = 4 h 14 min 6 s |
Is 15246 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15246 ÷ 2 = 7623) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (15246 ÷ 3 = 5082) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (15246 ÷ 6 = 2541) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (15246 ÷ 7 = 2178) | 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 (15246 ÷ 9 = 1694) | 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 | Yes (15246 ÷ 11 = 1386) | 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 15246 a prime number?
No. 15246 = 2 × × 7 × , so it is divisible by 2.
What are the factors of 15246?
1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 63, 66, 77, 99, 121, 126, 154, 198, 231, 242, 363, 462, 693, 726, 847, 1089, 1386, 1694, 2178, 2541, 5082, 7623, 15246.
What is 15246 in binary?
11101110001110 (hexadecimal 3B8E, octal 35616).
What is the square root of 15246?
About 123.4747, exactly 33√14.
Is 15246 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 15246?
15246 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.