λ
Ratio Atlas
Atlas › Integer Profiles › Node 80,488,404
80,488,404
22 × 35 × 17 × 4871
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^5 × 17 × 4871
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 223,449,408
Proper Divisor Sum 142,961,004
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #80488403 ← → #80488411

Radix Representation

Decimal 80488404
Binary 100110011000010011111010100 (27 bits)
Octal 0o463023724
Hexadecimal 0x4CC27D4

Divisor Catalog (60 of 72)

1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 306 324 459 486 612 918 972 1,377 1,836 2,754 4,131 4,871 5,508 8,262 9,742 14,613 16,524 19,484 29,226 43,839 58,452 82,807 87,678 131,517 165,614 175,356 248,421 263,034 331,228 394,551 496,842 526,068 745,263 789,102 993,684 1,183,653 1,490,526 1,578,204

Collatz Trajectory (223 steps to reach 1)

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

80,488,404 40,244,202 20,122,101 60,366,304 30,183,152 15,091,576 7,545,788 3,772,894 1,886,447 5,659,342 2,829,671 8,489,014 4,244,507 12,733,522 6,366,761 19,100,284 9,550,142 4,775,071 14,325,214 7,162,607 21,487,822 10,743,911 32,231,734 16,115,867 48,347,602 24,173,801 72,521,404 36,260,702 18,130,351 54,391,054 27,195,527 81,586,582 40,793,291 122,379,874 61,189,937 183,569,812 91,784,906 45,892,453 137,677,360 68,838,680 34,419,340 17,209,670 8,604,835 25,814,506 12,907,253 38,721,760 19,360,880 9,680,440 4,840,220 2,420,110 1,210,055 3,630,166 1,815,083 5,445,250 2,722,625 8,167,876 4,083,938 2,041,969 6,125,908 3,062,954

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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