27,847,340

2² × 5 × 1392367

27,847,340 factors as 2^2 × 5 × 1392367. Its 12 positive divisors give a proper-divisor sum of 30,632,116, so this integer is abundant. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 1392367

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 58,479,456

Proper Divisor Sum 30,632,116

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #27847327 ← → #27847349

Radix Representation

Decimal	27847340
Binary	1101010001110101010101100 (25 bits)
Octal	0o152165254
Hexadecimal	0x1A8EAAC

Divisor Catalog (12)

1 2 4 5 10 20 1,392,367 2,784,734 5,569,468 6,961,835 13,923,670 27,847,340

Collatz Trajectory (193 steps to reach 1)

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

27,847,340 13,923,670 6,961,835 20,885,506 10,442,753 31,328,260 15,664,130 7,832,065 23,496,196 11,748,098 5,874,049 17,622,148 8,811,074 4,405,537 13,216,612 6,608,306 3,304,153 9,912,460 4,956,230 2,478,115 7,434,346 3,717,173 11,151,520 5,575,760 2,787,880 1,393,940 696,970 348,485 1,045,456 522,728 261,364 130,682 65,341 196,024 98,012 49,006 24,503 73,510 36,755 110,266 55,133 165,400 82,700 41,350 20,675 62,026 31,013 93,040 46,520 23,260 11,630 5,815 17,446 8,723 26,170 13,085 39,256 19,628 9,814 4,907

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