λ
Ratio Atlas
Atlas › Integer Profiles › Node 993,195
993,195
33 × 5 × 7 × 1051
Abundant Odd Composite

Prime Factor Structure

Factorization String 3^3 × 5 × 7 × 1051
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,019,840
Proper Divisor Sum 1,026,645
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #993169 ← → #993197

Radix Representation

Decimal 993195
Binary 11110010011110101011 (20 bits)
Octal 0o3623653
Hexadecimal 0xF27AB

Divisor Catalog (32)

1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 1,051 3,153 5,255 7,357 9,459 15,765 22,071 28,377 36,785 47,295 66,213 110,355 141,885 198,639 331,065 993,195

Collatz Trajectory (183 steps to reach 1)

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

993,195 2,979,586 1,489,793 4,469,380 2,234,690 1,117,345 3,352,036 1,676,018 838,009 2,514,028 1,257,014 628,507 1,885,522 942,761 2,828,284 1,414,142 707,071 2,121,214 1,060,607 3,181,822 1,590,911 4,772,734 2,386,367 7,159,102 3,579,551 10,738,654 5,369,327 16,107,982 8,053,991 24,161,974 12,080,987 36,242,962 18,121,481 54,364,444 27,182,222 13,591,111 40,773,334 20,386,667 61,160,002 30,580,001 91,740,004 45,870,002 22,935,001 68,805,004 34,402,502 17,201,251 51,603,754 25,801,877 77,405,632 38,702,816 19,351,408 9,675,704 4,837,852 2,418,926 1,209,463 3,628,390 1,814,195 5,442,586 2,721,293 8,163,880

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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