λ
Ratio Atlas
Atlas › Integer Profiles › Node 21,362,271
21,362,271
3 × 7 × 41 × 43 × 577
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 41 × 43 × 577
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 34,180,608
Proper Divisor Sum 12,818,337
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #21362269 ← → #21362281

Radix Representation

Decimal 21362271
Binary 1010001011111011001011111 (25 bits)
Octal 0o121373137
Hexadecimal 0x145F65F

Divisor Catalog (32)

1 3 7 21 41 43 123 129 287 301 577 861 903 1,731 1,763 4,039 5,289 12,117 12,341 23,657 24,811 37,023 70,971 74,433 165,599 173,677 496,797 521,031 1,017,251 3,051,753 7,120,757 21,362,271

Collatz Trajectory (177 steps to reach 1)

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

21,362,271 64,086,814 32,043,407 96,130,222 48,065,111 144,195,334 72,097,667 216,293,002 108,146,501 324,439,504 162,219,752 81,109,876 40,554,938 20,277,469 60,832,408 30,416,204 15,208,102 7,604,051 22,812,154 11,406,077 34,218,232 17,109,116 8,554,558 4,277,279 12,831,838 6,415,919 19,247,758 9,623,879 28,871,638 14,435,819 43,307,458 21,653,729 64,961,188 32,480,594 16,240,297 48,720,892 24,360,446 12,180,223 36,540,670 18,270,335 54,811,006 27,405,503 82,216,510 41,108,255 123,324,766 61,662,383 184,987,150 92,493,575 277,480,726 138,740,363 416,221,090 208,110,545 624,331,636 312,165,818 156,082,909 468,248,728 234,124,364 117,062,182 58,531,091 175,593,274

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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