λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,945,120
36,945,120
25 × 3 × 5 × 19 × 4051
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 19 × 4051
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 122,532,480
Proper Divisor Sum 85,587,360
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #36945119 ← → #36945121

Radix Representation

Decimal 36945120
Binary 10001100111011110011100000 (26 bits)
Octal 0o214736340
Hexadecimal 0x233BCE0

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1,140 1,520 1,824 2,280 3,040 4,051 4,560 8,102 9,120 12,153 16,204 20,255 24,306 32,408 40,510 48,612 60,765 64,816 76,969

Collatz Trajectory (51 steps to reach 1)

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

36,945,120 18,472,560 9,236,280 4,618,140 2,309,070 1,154,535 3,463,606 1,731,803 5,195,410 2,597,705 7,793,116 3,896,558 1,948,279 5,844,838 2,922,419 8,767,258 4,383,629 13,150,888 6,575,444 3,287,722 1,643,861 4,931,584 2,465,792 1,232,896 616,448 308,224 154,112 77,056 38,528 19,264 9,632 4,816 2,408 1,204 602 301 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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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