λ
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Atlas › Integer Profiles › Node 9,856,847

9,856,847

7 × 11 × 13 × 43 × 229
Deficient Odd Composite

9,856,847 factors as 7 × 11 × 13 × 43 × 229. Its 32 positive divisors give a proper-divisor sum of 3,744,433, so this integer is deficient. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 7 × 11 × 13 × 43 × 229
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,601,280
Proper Divisor Sum 3,744,433
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #9856843 ← → #9856883

Radix Representation

Decimal 9856847
Binary 100101100110011101001111 (24 bits)
Octal 0o45463517
Hexadecimal 0x96674F

Divisor Catalog (32)

1 7 11 13 43 77 91 143 229 301 473 559 1,001 1,603 2,519 2,977 3,311 3,913 6,149 9,847 17,633 20,839 32,747 43,043 68,929 108,317 128,011 229,229 758,219 896,077 1,408,121 9,856,847

Collatz Trajectory (194 steps to reach 1)

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

9,856,847 29,570,542 14,785,271 44,355,814 22,177,907 66,533,722 33,266,861 99,800,584 49,900,292 24,950,146 12,475,073 37,425,220 18,712,610 9,356,305 28,068,916 14,034,458 7,017,229 21,051,688 10,525,844 5,262,922 2,631,461 7,894,384 3,947,192 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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