λ
Ratio Atlas
Atlas › Integer Profiles › Node 41,003,742
41,003,742
2 × 3 × 13 × 521 × 1009
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 13 × 521 × 1009
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 88,572,960
Proper Divisor Sum 47,569,218
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #41003741 ← → #41003771

Radix Representation

Decimal 41003742
Binary 10011100011010101011011110 (26 bits)
Octal 0o234325336
Hexadecimal 0x271AADE

Divisor Catalog (32)

1 2 3 6 13 26 39 78 521 1,009 1,042 1,563 2,018 3,027 3,126 6,054 6,773 13,117 13,546 20,319 26,234 39,351 40,638 78,702 525,689 1,051,378 1,577,067 3,154,134 6,833,957 13,667,914 20,501,871 41,003,742

Collatz Trajectory (191 steps to reach 1)

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

41,003,742 20,501,871 61,505,614 30,752,807 92,258,422 46,129,211 138,387,634 69,193,817 207,581,452 103,790,726 51,895,363 155,686,090 77,843,045 233,529,136 116,764,568 58,382,284 29,191,142 14,595,571 43,786,714 21,893,357 65,680,072 32,840,036 16,420,018 8,210,009 24,630,028 12,315,014 6,157,507 18,472,522 9,236,261 27,708,784 13,854,392 6,927,196 3,463,598 1,731,799 5,195,398 2,597,699 7,793,098 3,896,549 11,689,648 5,844,824 2,922,412 1,461,206 730,603 2,191,810 1,095,905 3,287,716 1,643,858 821,929 2,465,788 1,232,894 616,447 1,849,342 924,671 2,774,014 1,387,007 4,161,022 2,080,511 6,241,534 3,120,767 9,362,302

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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