λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,927,420
36,927,420
22 × 3 × 5 × 23 × 26759
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 23 × 26759
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 107,896,320
Proper Divisor Sum 70,968,900
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #36927419 ← → #36927433

Radix Representation

Decimal 36927420
Binary 10001100110111011110111100 (26 bits)
Octal 0o214673674
Hexadecimal 0x23377BC

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1,380 26,759 53,518 80,277 107,036 133,795 160,554 267,590 321,108 401,385 535,180 615,457 802,770 1,230,914 1,605,540 1,846,371 2,461,828 3,077,285 3,692,742 6,154,570 7,385,484 9,231,855 12,309,140 18,463,710 36,927,420

Collatz Trajectory (196 steps to reach 1)

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

36,927,420 18,463,710 9,231,855 27,695,566 13,847,783 41,543,350 20,771,675 62,315,026 31,157,513 93,472,540 46,736,270 23,368,135 70,104,406 35,052,203 105,156,610 52,578,305 157,734,916 78,867,458 39,433,729 118,301,188 59,150,594 29,575,297 88,725,892 44,362,946 22,181,473 66,544,420 33,272,210 16,636,105 49,908,316 24,954,158 12,477,079 37,431,238 18,715,619 56,146,858 28,073,429 84,220,288 42,110,144 21,055,072 10,527,536 5,263,768 2,631,884 1,315,942 657,971 1,973,914 986,957 2,960,872 1,480,436 740,218 370,109 1,110,328 555,164 277,582 138,791 416,374 208,187 624,562 312,281 936,844 468,422 234,211

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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