λ
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9,856,834

2 × 13 × 23 × 53 × 311
Deficient Even Composite

9,856,834 factors as 2 × 13 × 23 × 53 × 311. Its 32 positive divisors give a proper-divisor sum of 7,125,950, so this integer is deficient. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2 × 13 × 23 × 53 × 311
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,982,784
Proper Divisor Sum 7,125,950
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #9856829 ← → #9856843

Radix Representation

Decimal 9856834
Binary 100101100110011101000010 (24 bits)
Octal 0o45463502
Hexadecimal 0x966742

Divisor Catalog (32)

1 2 13 23 26 46 53 106 299 311 598 622 689 1,219 1,378 2,438 4,043 7,153 8,086 14,306 15,847 16,483 31,694 32,966 92,989 185,978 214,279 379,109 428,558 758,218 4,928,417 9,856,834

Collatz Trajectory (194 steps to reach 1)

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

9,856,834 4,928,417 14,785,252 7,392,626 3,696,313 11,088,940 5,544,470 2,772,235 8,316,706 4,158,353 12,475,060 6,237,530 3,118,765 9,356,296 4,678,148 2,339,074 1,169,537 3,508,612 1,754,306 877,153 2,631,460 1,315,730 657,865 1,973,596 986,798 493,399 1,480,198 740,099 2,220,298 1,110,149 3,330,448 1,665,224 832,612 416,306 208,153 624,460 312,230 156,115 468,346 234,173 702,520 351,260 175,630 87,815 263,446 131,723 395,170 197,585 592,756 296,378 148,189 444,568 222,284 111,142 55,571 166,714 83,357 250,072 125,036 62,518

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