λ
Ratio Atlas
Atlas › Integer Profiles › Node 72,049,980
72,049,980
22 × 3 × 5 × 1200833
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 1200833
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 201,740,112
Proper Divisor Sum 129,690,132
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #72049973 ← → #72049987

Radix Representation

Decimal 72049980
Binary 100010010110110010100111100 (27 bits)
Octal 0o422662474
Hexadecimal 0x44B653C

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 1,200,833 2,401,666 3,602,499 4,803,332 6,004,165 7,204,998 12,008,330 14,409,996 18,012,495 24,016,660 36,024,990 72,049,980

Collatz Trajectory (303 steps to reach 1)

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

72,049,980 36,024,990 18,012,495 54,037,486 27,018,743 81,056,230 40,528,115 121,584,346 60,792,173 182,376,520 91,188,260 45,594,130 22,797,065 68,391,196 34,195,598 17,097,799 51,293,398 25,646,699 76,940,098 38,470,049 115,410,148 57,705,074 28,852,537 86,557,612 43,278,806 21,639,403 64,918,210 32,459,105 97,377,316 48,688,658 24,344,329 73,032,988 36,516,494 18,258,247 54,774,742 27,387,371 82,162,114 41,081,057 123,243,172 61,621,586 30,810,793 92,432,380 46,216,190 23,108,095 69,324,286 34,662,143 103,986,430 51,993,215 155,979,646 77,989,823 233,969,470 116,984,735 350,954,206 175,477,103 526,431,310 263,215,655 789,646,966 394,823,483 1,184,470,450 592,235,225

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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