λ
Ratio Atlas
Atlas › Integer Profiles › Node 42,052,270
42,052,270
2 × 5 × 132 × 149 × 167
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 13^2 × 149 × 167
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 83,008,800
Proper Divisor Sum 40,956,530
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #42052261 ← → #42052277

Radix Representation

Decimal 42052270
Binary 10100000011010101010101110 (26 bits)
Octal 0o240325256
Hexadecimal 0x281AAAE

Divisor Catalog (48)

1 2 5 10 13 26 65 130 149 167 169 298 334 338 745 835 845 1,490 1,670 1,690 1,937 2,171 3,874 4,342 9,685 10,855 19,370 21,710 24,883 25,181 28,223 49,766 50,362 56,446 124,415 125,905 141,115 248,830 251,810 282,230 323,479 646,958 1,617,395 3,234,790 4,205,227 8,410,454 21,026,135 42,052,270

Collatz Trajectory (129 steps to reach 1)

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

42,052,270 21,026,135 63,078,406 31,539,203 94,617,610 47,308,805 141,926,416 70,963,208 35,481,604 17,740,802 8,870,401 26,611,204 13,305,602 6,652,801 19,958,404 9,979,202 4,989,601 14,968,804 7,484,402 3,742,201 11,226,604 5,613,302 2,806,651 8,419,954 4,209,977 12,629,932 6,314,966 3,157,483 9,472,450 4,736,225 14,208,676 7,104,338 3,552,169 10,656,508 5,328,254 2,664,127 7,992,382 3,996,191 11,988,574 5,994,287 17,982,862 8,991,431 26,974,294 13,487,147 40,461,442 20,230,721 60,692,164 30,346,082 15,173,041 45,519,124 22,759,562 11,379,781 34,139,344 17,069,672 8,534,836 4,267,418 2,133,709 6,401,128 3,200,564 1,600,282

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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