λ
Ratio Atlas
Atlas › Integer Profiles › Node 80,243,964
80,243,964
22 × 32 × 23 × 199 × 487
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 23 × 199 × 487
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 213,158,400
Proper Divisor Sum 132,914,436
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #80243963 ← → #80243971

Radix Representation

Decimal 80243964
Binary 100110010000110110011111100 (27 bits)
Octal 0o462066374
Hexadecimal 0x4C86CFC

Divisor Catalog (60 of 72)

1 2 3 4 6 9 12 18 23 36 46 69 92 138 199 207 276 398 414 487 597 796 828 974 1,194 1,461 1,791 1,948 2,388 2,922 3,582 4,383 4,577 5,844 7,164 8,766 9,154 11,201 13,731 17,532 18,308 22,402 27,462 33,603 41,193 44,804 54,924 67,206 82,386 96,913 100,809 134,412 164,772 193,826 201,618 290,739 387,652 403,236 581,478 872,217

Collatz Trajectory (192 steps to reach 1)

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

80,243,964 40,121,982 20,060,991 60,182,974 30,091,487 90,274,462 45,137,231 135,411,694 67,705,847 203,117,542 101,558,771 304,676,314 152,338,157 457,014,472 228,507,236 114,253,618 57,126,809 171,380,428 85,690,214 42,845,107 128,535,322 64,267,661 192,802,984 96,401,492 48,200,746 24,100,373 72,301,120 36,150,560 18,075,280 9,037,640 4,518,820 2,259,410 1,129,705 3,389,116 1,694,558 847,279 2,541,838 1,270,919 3,812,758 1,906,379 5,719,138 2,859,569 8,578,708 4,289,354 2,144,677 6,434,032 3,217,016 1,608,508 804,254 402,127 1,206,382 603,191 1,809,574 904,787 2,714,362 1,357,181 4,071,544 2,035,772 1,017,886 508,943

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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