λ
Ratio Atlas
Atlas › Integer Profiles › Node 21,100,540
21,100,540
22 × 5 × 349 × 3023
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 349 × 3023
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 44,452,800
Proper Divisor Sum 23,352,260
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #21100531 ← → #21100543

Radix Representation

Decimal 21100540
Binary 1010000011111011111111100 (25 bits)
Octal 0o120373774
Hexadecimal 0x141F7FC

Divisor Catalog (24)

1 2 4 5 10 20 349 698 1,396 1,745 3,023 3,490 6,046 6,980 12,092 15,115 30,230 60,460 1,055,027 2,110,054 4,220,108 5,275,135 10,550,270 21,100,540

Collatz Trajectory (177 steps to reach 1)

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

21,100,540 10,550,270 5,275,135 15,825,406 7,912,703 23,738,110 11,869,055 35,607,166 17,803,583 53,410,750 26,705,375 80,116,126 40,058,063 120,174,190 60,087,095 180,261,286 90,130,643 270,391,930 135,195,965 405,587,896 202,793,948 101,396,974 50,698,487 152,095,462 76,047,731 228,143,194 114,071,597 342,214,792 171,107,396 85,553,698 42,776,849 128,330,548 64,165,274 32,082,637 96,247,912 48,123,956 24,061,978 12,030,989 36,092,968 18,046,484 9,023,242 4,511,621 13,534,864 6,767,432 3,383,716 1,691,858 845,929 2,537,788 1,268,894 634,447 1,903,342 951,671 2,855,014 1,427,507 4,282,522 2,141,261 6,423,784 3,211,892 1,605,946 802,973

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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