λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,284,135
6,284,135
5 × 112 × 13 × 17 × 47
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 11^2 × 13 × 17 × 47
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,652,608
Proper Divisor Sum 3,368,473
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #6284123 ← → #6284137

Radix Representation

Decimal 6284135
Binary 10111111110001101100111 (23 bits)
Octal 0o27761547
Hexadecimal 0x5FE367

Divisor Catalog (48)

1 5 11 13 17 47 55 65 85 121 143 187 221 235 517 605 611 715 799 935 1,105 1,573 2,057 2,431 2,585 3,055 3,995 5,687 6,721 7,865 8,789 10,285 10,387 12,155 26,741 28,435 33,605 43,945 51,935 73,931 96,679 114,257 133,705 369,655 483,395 571,285 1,256,827 6,284,135

Collatz Trajectory (178 steps to reach 1)

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

6,284,135 18,852,406 9,426,203 28,278,610 14,139,305 42,417,916 21,208,958 10,604,479 31,813,438 15,906,719 47,720,158 23,860,079 71,580,238 35,790,119 107,370,358 53,685,179 161,055,538 80,527,769 241,583,308 120,791,654 60,395,827 181,187,482 90,593,741 271,781,224 135,890,612 67,945,306 33,972,653 101,917,960 50,958,980 25,479,490 12,739,745 38,219,236 19,109,618 9,554,809 28,664,428 14,332,214 7,166,107 21,498,322 10,749,161 32,247,484 16,123,742 8,061,871 24,185,614 12,092,807 36,278,422 18,139,211 54,417,634 27,208,817 81,626,452 40,813,226 20,406,613 61,219,840 30,609,920 15,304,960 7,652,480 3,826,240 1,913,120 956,560 478,280 239,140

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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