27,830,788

2² × 347 × 20051

27,830,788 factors as 2^2 × 347 × 20051. Its 12 positive divisors give a proper-divisor sum of 21,015,884, so this integer is deficient. The Collatz stopping time is 206 steps.

Prime Factor Structure

Factorization String 2^2 × 347 × 20051

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 48,846,672

Proper Divisor Sum 21,015,884

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #27830767 ← → #27830791

Radix Representation

Decimal	27830788
Binary	1101010001010101000000100 (25 bits)
Octal	0o152125004
Hexadecimal	0x1A8AA04

Divisor Catalog (12)

1 2 4 347 694 1,388 20,051 40,102 80,204 6,957,697 13,915,394 27,830,788

Collatz Trajectory (206 steps to reach 1)

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

27,830,788 13,915,394 6,957,697 20,873,092 10,436,546 5,218,273 15,654,820 7,827,410 3,913,705 11,741,116 5,870,558 2,935,279 8,805,838 4,402,919 13,208,758 6,604,379 19,813,138 9,906,569 29,719,708 14,859,854 7,429,927 22,289,782 11,144,891 33,434,674 16,717,337 50,152,012 25,076,006 12,538,003 37,614,010 18,807,005 56,421,016 28,210,508 14,105,254 7,052,627 21,157,882 10,578,941 31,736,824 15,868,412 7,934,206 3,967,103 11,901,310 5,950,655 17,851,966 8,925,983 26,777,950 13,388,975 40,166,926 20,083,463 60,250,390 30,125,195 90,375,586 45,187,793 135,563,380 67,781,690 33,890,845 101,672,536 50,836,268 25,418,134 12,709,067 38,127,202

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