λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,757,773
9,757,773
33 × 19 × 23 × 827
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 19 × 23 × 827
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,897,600
Proper Divisor Sum 6,139,827
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9757763 ← → #9757793

Radix Representation

Decimal 9757773
Binary 100101001110010001001101 (24 bits)
Octal 0o45162115
Hexadecimal 0x94E44D

Divisor Catalog (32)

1 3 9 19 23 27 57 69 171 207 437 513 621 827 1,311 2,481 3,933 7,443 11,799 15,713 19,021 22,329 47,139 57,063 141,417 171,189 361,399 424,251 513,567 1,084,197 3,252,591 9,757,773

Collatz Trajectory (145 steps to reach 1)

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

9,757,773 29,273,320 14,636,660 7,318,330 3,659,165 10,977,496 5,488,748 2,744,374 1,372,187 4,116,562 2,058,281 6,174,844 3,087,422 1,543,711 4,631,134 2,315,567 6,946,702 3,473,351 10,420,054 5,210,027 15,630,082 7,815,041 23,445,124 11,722,562 5,861,281 17,583,844 8,791,922 4,395,961 13,187,884 6,593,942 3,296,971 9,890,914 4,945,457 14,836,372 7,418,186 3,709,093 11,127,280 5,563,640 2,781,820 1,390,910 695,455 2,086,366 1,043,183 3,129,550 1,564,775 4,694,326 2,347,163 7,041,490 3,520,745 10,562,236 5,281,118 2,640,559 7,921,678 3,960,839 11,882,518 5,941,259 17,823,778 8,911,889 26,735,668 13,367,834

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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