λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,799,735
9,799,735
5 × 11 × 17 × 47 × 223
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 11 × 17 × 47 × 223
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,934,592
Proper Divisor Sum 4,134,857
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #9799733 ← → #9799759

Radix Representation

Decimal 9799735
Binary 100101011000100000110111 (24 bits)
Octal 0o45304067
Hexadecimal 0x958837

Divisor Catalog (32)

1 5 11 17 47 55 85 187 223 235 517 799 935 1,115 2,453 2,585 3,791 3,995 8,789 10,481 12,265 18,955 41,701 43,945 52,405 115,291 178,177 208,505 576,455 890,885 1,959,947 9,799,735

Collatz Trajectory (344 steps to reach 1)

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

9,799,735 29,399,206 14,699,603 44,098,810 22,049,405 66,148,216 33,074,108 16,537,054 8,268,527 24,805,582 12,402,791 37,208,374 18,604,187 55,812,562 27,906,281 83,718,844 41,859,422 20,929,711 62,789,134 31,394,567 94,183,702 47,091,851 141,275,554 70,637,777 211,913,332 105,956,666 52,978,333 158,935,000 79,467,500 39,733,750 19,866,875 59,600,626 29,800,313 89,400,940 44,700,470 22,350,235 67,050,706 33,525,353 100,576,060 50,288,030 25,144,015 75,432,046 37,716,023 113,148,070 56,574,035 169,722,106 84,861,053 254,583,160 127,291,580 63,645,790 31,822,895 95,468,686 47,734,343 143,203,030 71,601,515 214,804,546 107,402,273 322,206,820 161,103,410 80,551,705

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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