7,900,182

2 × 3² × 438899

7,900,182 factors as 2 × 3^2 × 438899. Its 12 positive divisors give a proper-divisor sum of 9,216,918, so this integer is abundant. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 438899

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 17,117,100

Proper Divisor Sum 9,216,918

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7900177 ← → #7900187

Radix Representation

Decimal	7900182
Binary	11110001000110000010110 (23 bits)
Octal	0o36106026
Hexadecimal	0x788C16

Divisor Catalog (12)

1 2 3 6 9 18 438,899 877,798 1,316,697 2,633,394 3,950,091 7,900,182

Collatz Trajectory (186 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

7,900,182 3,950,091 11,850,274 5,925,137 17,775,412 8,887,706 4,443,853 13,331,560 6,665,780 3,332,890 1,666,445 4,999,336 2,499,668 1,249,834 624,917 1,874,752 937,376 468,688 234,344 117,172 58,586 29,293 87,880 43,940 21,970 10,985 32,956 16,478 8,239 24,718 12,359 37,078 18,539 55,618 27,809 83,428 41,714 20,857 62,572 31,286 15,643 46,930 23,465 70,396 35,198 17,599 52,798 26,399 79,198 39,599 118,798 59,399 178,198 89,099 267,298 133,649 400,948 200,474 100,237 300,712

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