λ
Ratio Atlas
Atlas › Integer Profiles › Node 41,563,258
41,563,258
2 × 112 × 41 × 59 × 71
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 11^2 × 41 × 59 × 71
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 72,394,560
Proper Divisor Sum 30,831,302
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #41563253 ← → #41563273

Radix Representation

Decimal 41563258
Binary 10011110100011010001111010 (26 bits)
Octal 0o236432172
Hexadecimal 0x27A347A

Divisor Catalog (48)

1 2 11 22 41 59 71 82 118 121 142 242 451 649 781 902 1,298 1,562 2,419 2,911 4,189 4,838 4,961 5,822 7,139 8,378 8,591 9,922 14,278 17,182 26,609 32,021 46,079 53,218 64,042 92,158 171,749 292,699 343,498 352,231 506,869 585,398 704,462 1,013,738 1,889,239 3,778,478 20,781,629 41,563,258

Collatz Trajectory (116 steps to reach 1)

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

41,563,258 20,781,629 62,344,888 31,172,444 15,586,222 7,793,111 23,379,334 11,689,667 35,069,002 17,534,501 52,603,504 26,301,752 13,150,876 6,575,438 3,287,719 9,863,158 4,931,579 14,794,738 7,397,369 22,192,108 11,096,054 5,548,027 16,644,082 8,322,041 24,966,124 12,483,062 6,241,531 18,724,594 9,362,297 28,086,892 14,043,446 7,021,723 21,065,170 10,532,585 31,597,756 15,798,878 7,899,439 23,698,318 11,849,159 35,547,478 17,773,739 53,321,218 26,660,609 79,981,828 39,990,914 19,995,457 59,986,372 29,993,186 14,996,593 44,989,780 22,494,890 11,247,445 33,742,336 16,871,168 8,435,584 4,217,792 2,108,896 1,054,448 527,224 263,612

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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