λ
Ratio Atlas
Atlas › Integer Profiles › Node 41,002,300
41,002,300
22 × 52 × 17 × 89 × 271
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5^2 × 17 × 89 × 271
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 95,618,880
Proper Divisor Sum 54,616,580
Digit Sum / Digital Root 10 (Root: 1)
Adjacent Primes #41002289 ← → #41002301

Radix Representation

Decimal 41002300
Binary 10011100011010010100111100 (26 bits)
Octal 0o234322474
Hexadecimal 0x271A53C

Divisor Catalog (60 of 72)

1 2 4 5 10 17 20 25 34 50 68 85 89 100 170 178 271 340 356 425 445 542 850 890 1,084 1,355 1,513 1,700 1,780 2,225 2,710 3,026 4,450 4,607 5,420 6,052 6,775 7,565 8,900 9,214 13,550 15,130 18,428 23,035 24,119 27,100 30,260 37,825 46,070 48,238 75,650 92,140 96,476 115,175 120,595 151,300 230,350 241,190 410,023 460,700

Collatz Trajectory (191 steps to reach 1)

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

41,002,300 20,501,150 10,250,575 30,751,726 15,375,863 46,127,590 23,063,795 69,191,386 34,595,693 103,787,080 51,893,540 25,946,770 12,973,385 38,920,156 19,460,078 9,730,039 29,190,118 14,595,059 43,785,178 21,892,589 65,677,768 32,838,884 16,419,442 8,209,721 24,629,164 12,314,582 6,157,291 18,471,874 9,235,937 27,707,812 13,853,906 6,926,953 20,780,860 10,390,430 5,195,215 15,585,646 7,792,823 23,378,470 11,689,235 35,067,706 17,533,853 52,601,560 26,300,780 13,150,390 6,575,195 19,725,586 9,862,793 29,588,380 14,794,190 7,397,095 22,191,286 11,095,643 33,286,930 16,643,465 49,930,396 24,965,198 12,482,599 37,447,798 18,723,899 56,171,698

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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