λ
Ratio Atlas
Atlas › Integer Profiles › Node 42,336,620
42,336,620
22 × 5 × 97 × 139 × 157
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 97 × 139 × 157
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 91,045,920
Proper Divisor Sum 48,709,300
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #42336601 ← → #42336643

Radix Representation

Decimal 42336620
Binary 10100001100000000101101100 (26 bits)
Octal 0o241400554
Hexadecimal 0x286016C

Divisor Catalog (48)

1 2 4 5 10 20 97 139 157 194 278 314 388 485 556 628 695 785 970 1,390 1,570 1,940 2,780 3,140 13,483 15,229 21,823 26,966 30,458 43,646 53,932 60,916 67,415 76,145 87,292 109,115 134,830 152,290 218,230 269,660 304,580 436,460 2,116,831 4,233,662 8,467,324 10,584,155 21,168,310 42,336,620

Collatz Trajectory (173 steps to reach 1)

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

42,336,620 21,168,310 10,584,155 31,752,466 15,876,233 47,628,700 23,814,350 11,907,175 35,721,526 17,860,763 53,582,290 26,791,145 80,373,436 40,186,718 20,093,359 60,280,078 30,140,039 90,420,118 45,210,059 135,630,178 67,815,089 203,445,268 101,722,634 50,861,317 152,583,952 76,291,976 38,145,988 19,072,994 9,536,497 28,609,492 14,304,746 7,152,373 21,457,120 10,728,560 5,364,280 2,682,140 1,341,070 670,535 2,011,606 1,005,803 3,017,410 1,508,705 4,526,116 2,263,058 1,131,529 3,394,588 1,697,294 848,647 2,545,942 1,272,971 3,818,914 1,909,457 5,728,372 2,864,186 1,432,093 4,296,280 2,148,140 1,074,070 537,035 1,611,106

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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