λ
Ratio Atlas
Atlas › Integer Profiles › Node 501,480
501,480
23 × 32 × 5 × 7 × 199
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 7 × 199
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 1,872,000
Proper Divisor Sum 1,370,520
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #501463 ← → #501493

Radix Representation

Decimal 501480
Binary 1111010011011101000 (19 bits)
Octal 0o1723350
Hexadecimal 0x7A6E8

Divisor Catalog (60 of 96)

1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 199 210 252 280 315 360 398 420 504 597 630 796 840 995 1,194 1,260 1,393 1,592 1,791 1,990 2,388 2,520 2,786

Collatz Trajectory (63 steps to reach 1)

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

501,480 250,740 125,370 62,685 188,056 94,028 47,014 23,507 70,522 35,261 105,784 52,892 26,446 13,223 39,670 19,835 59,506 29,753 89,260 44,630 22,315 66,946 33,473 100,420 50,210 25,105 75,316 37,658 18,829 56,488 28,244 14,122 7,061 21,184 10,592 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16

Active Feeder Network

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

Feeder #1,448,561 Feeder #6,970,568 Feeder #2,947,453 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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