λ
Ratio Atlas
Atlas › Integer Profiles › Node 42,242,556
42,242,556
22 × 3 × 1823 × 1931
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 1823 × 1931
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 98,671,104
Proper Divisor Sum 56,428,548
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #42242539 ← → #42242573

Radix Representation

Decimal 42242556
Binary 10100001001001000111111100 (26 bits)
Octal 0o241110774
Hexadecimal 0x28491FC

Divisor Catalog (24)

1 2 3 4 6 12 1,823 1,931 3,646 3,862 5,469 5,793 7,292 7,724 10,938 11,586 21,876 23,172 3,520,213 7,040,426 10,560,639 14,080,852 21,121,278 42,242,556

Collatz Trajectory (129 steps to reach 1)

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

42,242,556 21,121,278 10,560,639 31,681,918 15,840,959 47,522,878 23,761,439 71,284,318 35,642,159 106,926,478 53,463,239 160,389,718 80,194,859 240,584,578 120,292,289 360,876,868 180,438,434 90,219,217 270,657,652 135,328,826 67,664,413 202,993,240 101,496,620 50,748,310 25,374,155 76,122,466 38,061,233 114,183,700 57,091,850 28,545,925 85,637,776 42,818,888 21,409,444 10,704,722 5,352,361 16,057,084 8,028,542 4,014,271 12,042,814 6,021,407 18,064,222 9,032,111 27,096,334 13,548,167 40,644,502 20,322,251 60,966,754 30,483,377 91,450,132 45,725,066 22,862,533 68,587,600 34,293,800 17,146,900 8,573,450 4,286,725 12,860,176 6,430,088 3,215,044 1,607,522

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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