λ
Ratio Atlas
Atlas › Integer Profiles › Node 42,192,560
42,192,560
24 × 5 × 527407
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5 × 527407
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 98,097,888
Proper Divisor Sum 55,905,328
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #42192551 ← → #42192569

Radix Representation

Decimal 42192560
Binary 10100000111100111010110000 (26 bits)
Octal 0o240747260
Hexadecimal 0x283CEB0

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 527,407 1,054,814 2,109,628 2,637,035 4,219,256 5,274,070 8,438,512 10,548,140 21,096,280 42,192,560

Collatz Trajectory (152 steps to reach 1)

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

42,192,560 21,096,280 10,548,140 5,274,070 2,637,035 7,911,106 3,955,553 11,866,660 5,933,330 2,966,665 8,899,996 4,449,998 2,224,999 6,674,998 3,337,499 10,012,498 5,006,249 15,018,748 7,509,374 3,754,687 11,264,062 5,632,031 16,896,094 8,448,047 25,344,142 12,672,071 38,016,214 19,008,107 57,024,322 28,512,161 85,536,484 42,768,242 21,384,121 64,152,364 32,076,182 16,038,091 48,114,274 24,057,137 72,171,412 36,085,706 18,042,853 54,128,560 27,064,280 13,532,140 6,766,070 3,383,035 10,149,106 5,074,553 15,223,660 7,611,830 3,805,915 11,417,746 5,708,873 17,126,620 8,563,310 4,281,655 12,844,966 6,422,483 19,267,450 9,633,725

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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