λ
Ratio Atlas
Atlas › Integer Profiles › Node 72,040,101
72,040,101
3 × 7 × 17 × 373 × 541
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 17 × 373 × 541
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 116,759,808
Proper Divisor Sum 44,719,707
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #72040069 ← → #72040103

Radix Representation

Decimal 72040101
Binary 100010010110011111010100101 (27 bits)
Octal 0o422637245
Hexadecimal 0x44B3EA5

Divisor Catalog (32)

1 3 7 17 21 51 119 357 373 541 1,119 1,623 2,611 3,787 6,341 7,833 9,197 11,361 19,023 27,591 44,387 64,379 133,161 193,137 201,793 605,379 1,412,551 3,430,481 4,237,653 10,291,443 24,013,367 72,040,101

Collatz Trajectory (321 steps to reach 1)

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

72,040,101 216,120,304 108,060,152 54,030,076 27,015,038 13,507,519 40,522,558 20,261,279 60,783,838 30,391,919 91,175,758 45,587,879 136,763,638 68,381,819 205,145,458 102,572,729 307,718,188 153,859,094 76,929,547 230,788,642 115,394,321 346,182,964 173,091,482 86,545,741 259,637,224 129,818,612 64,909,306 32,454,653 97,363,960 48,681,980 24,340,990 12,170,495 36,511,486 18,255,743 54,767,230 27,383,615 82,150,846 41,075,423 123,226,270 61,613,135 184,839,406 92,419,703 277,259,110 138,629,555 415,888,666 207,944,333 623,833,000 311,916,500 155,958,250 77,979,125 233,937,376 116,968,688 58,484,344 29,242,172 14,621,086 7,310,543 21,931,630 10,965,815 32,897,446 16,448,723

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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