λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,122,847
3,122,847
33 × 7 × 13 × 31 × 41
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 7 × 13 × 31 × 41
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 6,021,120
Proper Divisor Sum 2,898,273
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3122827 ← → #3122851

Radix Representation

Decimal 3122847
Binary 1011111010011010011111 (22 bits)
Octal 0o13723237
Hexadecimal 0x2FA69F

Divisor Catalog (60 of 64)

1 3 7 9 13 21 27 31 39 41 63 91 93 117 123 189 217 273 279 287 351 369 403 533 651 819 837 861 1,107 1,209 1,271 1,599 1,953 2,457 2,583 2,821 3,627 3,731 3,813 4,797 5,859 7,749 8,463 8,897 10,881 11,193 11,439 14,391 16,523 25,389 26,691 33,579 34,317 49,569 76,167 80,073 100,737 115,661 148,707 240,219

Collatz Trajectory (182 steps to reach 1)

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

3,122,847 9,368,542 4,684,271 14,052,814 7,026,407 21,079,222 10,539,611 31,618,834 15,809,417 47,428,252 23,714,126 11,857,063 35,571,190 17,785,595 53,356,786 26,678,393 80,035,180 40,017,590 20,008,795 60,026,386 30,013,193 90,039,580 45,019,790 22,509,895 67,529,686 33,764,843 101,294,530 50,647,265 151,941,796 75,970,898 37,985,449 113,956,348 56,978,174 28,489,087 85,467,262 42,733,631 128,200,894 64,100,447 192,301,342 96,150,671 288,452,014 144,226,007 432,678,022 216,339,011 649,017,034 324,508,517 973,525,552 486,762,776 243,381,388 121,690,694 60,845,347 182,536,042 91,268,021 273,804,064 136,902,032 68,451,016 34,225,508 17,112,754 8,556,377 25,669,132

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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