λ
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900,306

2 × 32 × 11 × 4547
Abundant Even Composite

900,306 factors as 2 × 3^2 × 11 × 4547. Its 24 positive divisors give a proper-divisor sum of 1,228,158, so this integer is abundant. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 4547
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,128,464
Proper Divisor Sum 1,228,158
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #900293 ← → #900307

Radix Representation

Decimal 900306
Binary 11011011110011010010 (20 bits)
Octal 0o3336322
Hexadecimal 0xDBCD2

Divisor Catalog (24)

1 2 3 6 9 11 18 22 33 66 99 198 4,547 9,094 13,641 27,282 40,923 50,017 81,846 100,034 150,051 300,102 450,153 900,306

Collatz Trajectory (157 steps to reach 1)

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

900,306 450,153 1,350,460 675,230 337,615 1,012,846 506,423 1,519,270 759,635 2,278,906 1,139,453 3,418,360 1,709,180 854,590 427,295 1,281,886 640,943 1,922,830 961,415 2,884,246 1,442,123 4,326,370 2,163,185 6,489,556 3,244,778 1,622,389 4,867,168 2,433,584 1,216,792 608,396 304,198 152,099 456,298 228,149 684,448 342,224 171,112 85,556 42,778 21,389 64,168 32,084 16,042 8,021 24,064 12,032 6,016 3,008 1,504 752 376 188 94 47 142 71 214 107 322 161

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