λ
Ratio Atlas
Atlas › Integer Profiles › Node 41,002,845
41,002,845
3 × 5 × 13 × 37 × 5683
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 13 × 37 × 5683
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 72,573,312
Proper Divisor Sum 31,570,467
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #41002837 ← → #41002849

Radix Representation

Decimal 41002845
Binary 10011100011010011101011101 (26 bits)
Octal 0o234323535
Hexadecimal 0x271A75D

Divisor Catalog (32)

1 3 5 13 15 37 39 65 111 185 195 481 555 1,443 2,405 5,683 7,215 17,049 28,415 73,879 85,245 210,271 221,637 369,395 630,813 1,051,355 1,108,185 2,733,523 3,154,065 8,200,569 13,667,615 41,002,845

Collatz Trajectory (191 steps to reach 1)

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

41,002,845 123,008,536 61,504,268 30,752,134 15,376,067 46,128,202 23,064,101 69,192,304 34,596,152 17,298,076 8,649,038 4,324,519 12,973,558 6,486,779 19,460,338 9,730,169 29,190,508 14,595,254 7,297,627 21,892,882 10,946,441 32,839,324 16,419,662 8,209,831 24,629,494 12,314,747 36,944,242 18,472,121 55,416,364 27,708,182 13,854,091 41,562,274 20,781,137 62,343,412 31,171,706 15,585,853 46,757,560 23,378,780 11,689,390 5,844,695 17,534,086 8,767,043 26,301,130 13,150,565 39,451,696 19,725,848 9,862,924 4,931,462 2,465,731 7,397,194 3,698,597 11,095,792 5,547,896 2,773,948 1,386,974 693,487 2,080,462 1,040,231 3,120,694 1,560,347

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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