3,853,780

2² × 5 × 7 × 27527

3,853,780 factors as 2^2 × 5 × 7 × 27527. Its 24 positive divisors give a proper-divisor sum of 5,395,628, so this integer is abundant. The Collatz stopping time is 53 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 27527

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,249,408

Proper Divisor Sum 5,395,628

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #3853763 ← → #3853793

Radix Representation

Decimal	3853780
Binary	1110101100110111010100 (22 bits)
Octal	0o16546724
Hexadecimal	0x3ACDD4

Divisor Catalog (24)

1 2 4 5 7 10 14 20 28 35 70 140 27,527 55,054 110,108 137,635 192,689 275,270 385,378 550,540 770,756 963,445 1,926,890 3,853,780

Collatz Trajectory (53 steps to reach 1)

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

3,853,780 1,926,890 963,445 2,890,336 1,445,168 722,584 361,292 180,646 90,323 270,970 135,485 406,456 203,228 101,614 50,807 152,422 76,211 228,634 114,317 342,952 171,476 85,738 42,869 128,608 64,304 32,152 16,076 8,038 4,019 12,058 6,029 18,088 9,044 4,522 2,261 6,784 3,392 1,696 848 424 212 106 53 160 80 40 20 10 5 16 8 4 2 1

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